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Finding the Fourth Proportional to 1,472.33, 2,208.15 and 432.11

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Solution

The fourth proportional to 1,472.33, 2,208.15 and 432.11 is: 648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.33 : 2,208.15 = 432.11 : x
  2. Step 2: Convert to fraction form
    1,472.33/2,208.15 = 432.11/x
  3. Step 3: Cross multiply
    1,472.33x = 2,208.15 × 432.11
  4. Step 4: Simplify right side
    1,472.33x = 954,163.70
  5. Step 5: Solve for x
    x = 954,163.70/1,472.33
  6. Step 6: Final answer
    x = 648.06

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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.