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Finding the Fourth Proportional to 463.52, 695.68 and 391.44

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Solution

The fourth proportional to 463.52, 695.68 and 391.44 is: 587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.52 : 695.68 = 391.44 : x
  2. Step 2: Convert to fraction form
    463.52/695.68 = 391.44/x
  3. Step 3: Cross multiply
    463.52x = 695.68 × 391.44
  4. Step 4: Simplify right side
    463.52x = 272,316.98
  5. Step 5: Solve for x
    x = 272,316.98/463.52
  6. Step 6: Final answer
    x = 587.50

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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.