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Finding the Fourth Proportional to 463.13, 639.40 and 288.71

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Solution

The fourth proportional to 463.13, 639.40 and 288.71 is: 398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.13 : 639.40 = 288.71 : x
  2. Step 2: Convert to fraction form
    463.13/639.40 = 288.71/x
  3. Step 3: Cross multiply
    463.13x = 639.40 × 288.71
  4. Step 4: Simplify right side
    463.13x = 184,601.17
  5. Step 5: Solve for x
    x = 184,601.17/463.13
  6. Step 6: Final answer
    x = 398.59

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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.