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Finding the Fourth Proportional to 463.48, 639.61 and 297.76

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Solution

The fourth proportional to 463.48, 639.61 and 297.76 is: 410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.48 : 639.61 = 297.76 : x
  2. Step 2: Convert to fraction form
    463.48/639.61 = 297.76/x
  3. Step 3: Cross multiply
    463.48x = 639.61 × 297.76
  4. Step 4: Simplify right side
    463.48x = 190,450.27
  5. Step 5: Solve for x
    x = 190,450.27/463.48
  6. Step 6: Final answer
    x = 410.91

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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.