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Finding the Fourth Proportional to 1,419.89, 2,129.85 and 432.87

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Solution

The fourth proportional to 1,419.89, 2,129.85 and 432.87 is: 649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.89 : 2,129.85 = 432.87 : x
  2. Step 2: Convert to fraction form
    1,419.89/2,129.85 = 432.87/x
  3. Step 3: Cross multiply
    1,419.89x = 2,129.85 × 432.87
  4. Step 4: Simplify right side
    1,419.89x = 921,948.17
  5. Step 5: Solve for x
    x = 921,948.17/1,419.89
  6. Step 6: Final answer
    x = 649.31

Related Problems

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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.