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Finding the Fourth Proportional to 534.91, 738.83 and 387.31

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Solution

The fourth proportional to 534.91, 738.83 and 387.31 is: 534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.91 : 738.83 = 387.31 : x
  2. Step 2: Convert to fraction form
    534.91/738.83 = 387.31/x
  3. Step 3: Cross multiply
    534.91x = 738.83 × 387.31
  4. Step 4: Simplify right side
    534.91x = 286,156.25
  5. Step 5: Solve for x
    x = 286,156.25/534.91
  6. Step 6: Final answer
    x = 534.96

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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.