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Finding the Fourth Proportional to 513.28, 707.84 and 487.36

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Solution

The fourth proportional to 513.28, 707.84 and 487.36 is: 672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.28 : 707.84 = 487.36 : x
  2. Step 2: Convert to fraction form
    513.28/707.84 = 487.36/x
  3. Step 3: Cross multiply
    513.28x = 707.84 × 487.36
  4. Step 4: Simplify right side
    513.28x = 344,972.90
  5. Step 5: Solve for x
    x = 344,972.90/513.28
  6. Step 6: Final answer
    x = 672.09

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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.