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Finding the Fourth Proportional to 538.71, 742.80 and 468.13

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Solution

The fourth proportional to 538.71, 742.80 and 468.13 is: 645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.71 : 742.80 = 468.13 : x
  2. Step 2: Convert to fraction form
    538.71/742.80 = 468.13/x
  3. Step 3: Cross multiply
    538.71x = 742.80 × 468.13
  4. Step 4: Simplify right side
    538.71x = 347,726.96
  5. Step 5: Solve for x
    x = 347,726.96/538.71
  6. Step 6: Final answer
    x = 645.48

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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.