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Finding the Fourth Proportional to 1,472.78, 2,209.17 and 432.81

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Solution

The fourth proportional to 1,472.78, 2,209.17 and 432.81 is: 649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.78 : 2,209.17 = 432.81 : x
  2. Step 2: Convert to fraction form
    1,472.78/2,209.17 = 432.81/x
  3. Step 3: Cross multiply
    1,472.78x = 2,209.17 × 432.81
  4. Step 4: Simplify right side
    1,472.78x = 956,137.66
  5. Step 5: Solve for x
    x = 956,137.66/1,472.78
  6. Step 6: Final answer
    x = 649.21

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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.