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Finding the Fourth Proportional to 463.52, 642.71 and 448.10

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Solution

The fourth proportional to 463.52, 642.71 and 448.10 is: 621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.52 : 642.71 = 448.10 : x
  2. Step 2: Convert to fraction form
    463.52/642.71 = 448.10/x
  3. Step 3: Cross multiply
    463.52x = 642.71 × 448.10
  4. Step 4: Simplify right side
    463.52x = 287,998.35
  5. Step 5: Solve for x
    x = 287,998.35/463.52
  6. Step 6: Final answer
    x = 621.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.