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Finding the Fourth Proportional to 715.40, 1,070.87 and 542.72

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Solution

The fourth proportional to 715.40, 1,070.87 and 542.72 is: 812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.40 : 1,070.87 = 542.72 : x
  2. Step 2: Convert to fraction form
    715.40/1,070.87 = 542.72/x
  3. Step 3: Cross multiply
    715.40x = 1,070.87 × 542.72
  4. Step 4: Simplify right side
    715.40x = 581,174.50
  5. Step 5: Solve for x
    x = 581,174.50/715.40
  6. Step 6: Final answer
    x = 812.38

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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.