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Finding the Fourth Proportional to 512.64, 767.36 and 458.88

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Solution

The fourth proportional to 512.64, 767.36 and 458.88 is: 686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 767.36 = 458.88 : x
  2. Step 2: Convert to fraction form
    512.64/767.36 = 458.88/x
  3. Step 3: Cross multiply
    512.64x = 767.36 × 458.88
  4. Step 4: Simplify right side
    512.64x = 352,126.16
  5. Step 5: Solve for x
    x = 352,126.16/512.64
  6. Step 6: Final answer
    x = 686.89

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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.