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Finding the Fourth Proportional to 528.16, 731.80 and 516.64

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Solution

The fourth proportional to 528.16, 731.80 and 516.64 is: 715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.16 : 731.80 = 516.64 : x
  2. Step 2: Convert to fraction form
    528.16/731.80 = 516.64/x
  3. Step 3: Cross multiply
    528.16x = 731.80 × 516.64
  4. Step 4: Simplify right side
    528.16x = 378,077.15
  5. Step 5: Solve for x
    x = 378,077.15/528.16
  6. Step 6: Final answer
    x = 715.84

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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.