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Finding the Fourth Proportional to 718.96, 992.50 and 542

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Solution

The fourth proportional to 718.96, 992.50 and 542 is: 748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.96 : 992.50 = 542 : x
  2. Step 2: Convert to fraction form
    718.96/992.50 = 542/x
  3. Step 3: Cross multiply
    718.96x = 992.50 × 542
  4. Step 4: Simplify right side
    718.96x = 537,935
  5. Step 5: Solve for x
    x = 537,935/718.96
  6. Step 6: Final answer
    x = 748.21

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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.