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Finding the Fourth Proportional to 463.71, 695.88 and 319.17

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Solution

The fourth proportional to 463.71, 695.88 and 319.17 is: 478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.71 : 695.88 = 319.17 : x
  2. Step 2: Convert to fraction form
    463.71/695.88 = 319.17/x
  3. Step 3: Cross multiply
    463.71x = 695.88 × 319.17
  4. Step 4: Simplify right side
    463.71x = 222,104.02
  5. Step 5: Solve for x
    x = 222,104.02/463.71
  6. Step 6: Final answer
    x = 478.97

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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.