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Finding the Fourth Proportional to 1,678.76, 2,317.42 and 1,049.16

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Solution

The fourth proportional to 1,678.76, 2,317.42 and 1,049.16 is: 1,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.76 : 2,317.42 = 1,049.16 : x
  2. Step 2: Convert to fraction form
    1,678.76/2,317.42 = 1,049.16/x
  3. Step 3: Cross multiply
    1,678.76x = 2,317.42 × 1,049.16
  4. Step 4: Simplify right side
    1,678.76x = 2,431,344.37
  5. Step 5: Solve for x
    x = 2,431,344.37/1,678.76
  6. Step 6: Final answer
    x = 1,448.30

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,679.76, 2,318.80 and 1,050.16
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.