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Finding the Fourth Proportional to 516.64, 707.60 and 503.68

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Solution

The fourth proportional to 516.64, 707.60 and 503.68 is: 689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.64 : 707.60 = 503.68 : x
  2. Step 2: Convert to fraction form
    516.64/707.60 = 503.68/x
  3. Step 3: Cross multiply
    516.64x = 707.60 × 503.68
  4. Step 4: Simplify right side
    516.64x = 356,403.97
  5. Step 5: Solve for x
    x = 356,403.97/516.64
  6. Step 6: Final answer
    x = 689.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.