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Finding the Fourth Proportional to 463.43, 691.82 and 448.31

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Solution

The fourth proportional to 463.43, 691.82 and 448.31 is: 669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.43 : 691.82 = 448.31 : x
  2. Step 2: Convert to fraction form
    463.43/691.82 = 448.31/x
  3. Step 3: Cross multiply
    463.43x = 691.82 × 448.31
  4. Step 4: Simplify right side
    463.43x = 310,149.82
  5. Step 5: Solve for x
    x = 310,149.82/463.43
  6. Step 6: Final answer
    x = 669.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.