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Finding the Fourth Proportional to 768.52, 1,059.78 and 458.20

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Solution

The fourth proportional to 768.52, 1,059.78 and 458.20 is: 631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.52 : 1,059.78 = 458.20 : x
  2. Step 2: Convert to fraction form
    768.52/1,059.78 = 458.20/x
  3. Step 3: Cross multiply
    768.52x = 1,059.78 × 458.20
  4. Step 4: Simplify right side
    768.52x = 485,591.20
  5. Step 5: Solve for x
    x = 485,591.20/768.52
  6. Step 6: Final answer
    x = 631.85

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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.