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Finding the Fourth Proportional to 663.85, 915.46 and 516.43

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Solution

The fourth proportional to 663.85, 915.46 and 516.43 is: 712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.85 : 915.46 = 516.43 : x
  2. Step 2: Convert to fraction form
    663.85/915.46 = 516.43/x
  3. Step 3: Cross multiply
    663.85x = 915.46 × 516.43
  4. Step 4: Simplify right side
    663.85x = 472,771.01
  5. Step 5: Solve for x
    x = 472,771.01/663.85
  6. Step 6: Final answer
    x = 712.17

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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.