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Finding the Fourth Proportional to 528.31, 790.64 and 516.16

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Solution

The fourth proportional to 528.31, 790.64 and 516.16 is: 772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.31 : 790.64 = 516.16 : x
  2. Step 2: Convert to fraction form
    528.31/790.64 = 516.16/x
  3. Step 3: Cross multiply
    528.31x = 790.64 × 516.16
  4. Step 4: Simplify right side
    528.31x = 408,096.74
  5. Step 5: Solve for x
    x = 408,096.74/528.31
  6. Step 6: Final answer
    x = 772.46

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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.