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Finding the Fourth Proportional to 1,247.42, 1,720.89 and 775.19

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Solution

The fourth proportional to 1,247.42, 1,720.89 and 775.19 is: 1,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.42 : 1,720.89 = 775.19 : x
  2. Step 2: Convert to fraction form
    1,247.42/1,720.89 = 775.19/x
  3. Step 3: Cross multiply
    1,247.42x = 1,720.89 × 775.19
  4. Step 4: Simplify right side
    1,247.42x = 1,334,016.72
  5. Step 5: Solve for x
    x = 1,334,016.72/1,247.42
  6. Step 6: Final answer
    x = 1,069.42

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Half scale
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Double scale
Find fourth proportional to 1,248.42, 1,722.27 and 776.19
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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.