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Finding the Fourth Proportional to 528, 726.21 and 462.39

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Solution

The fourth proportional to 528, 726.21 and 462.39 is: 635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    528 : 726.21 = 462.39 : x
  2. Step 2: Convert to fraction form
    528/726.21 = 462.39/x
  3. Step 3: Cross multiply
    528x = 726.21 × 462.39
  4. Step 4: Simplify right side
    528x = 335,792.24
  5. Step 5: Solve for x
    x = 335,792.24/528
  6. Step 6: Final answer
    x = 635.97

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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.