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Finding the Fourth Proportional to 534.24, 740.70 and 516.24

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Solution

The fourth proportional to 534.24, 740.70 and 516.24 is: 715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.24 : 740.70 = 516.24 : x
  2. Step 2: Convert to fraction form
    534.24/740.70 = 516.24/x
  3. Step 3: Cross multiply
    534.24x = 740.70 × 516.24
  4. Step 4: Simplify right side
    534.24x = 382,378.97
  5. Step 5: Solve for x
    x = 382,378.97/534.24
  6. Step 6: Final answer
    x = 715.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.