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Finding the Fourth Proportional to 1,119.25, 1,678.87 and 461.01

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Solution

The fourth proportional to 1,119.25, 1,678.87 and 461.01 is: 691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.25 : 1,678.87 = 461.01 : x
  2. Step 2: Convert to fraction form
    1,119.25/1,678.87 = 461.01/x
  3. Step 3: Cross multiply
    1,119.25x = 1,678.87 × 461.01
  4. Step 4: Simplify right side
    1,119.25x = 773,975.86
  5. Step 5: Solve for x
    x = 773,975.86/1,119.25
  6. Step 6: Final answer
    x = 691.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.