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Finding the Fourth Proportional to 463.36, 642.20 and 454.72

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Solution

The fourth proportional to 463.36, 642.20 and 454.72 is: 630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.36 : 642.20 = 454.72 : x
  2. Step 2: Convert to fraction form
    463.36/642.20 = 454.72/x
  3. Step 3: Cross multiply
    463.36x = 642.20 × 454.72
  4. Step 4: Simplify right side
    463.36x = 292,021.18
  5. Step 5: Solve for x
    x = 292,021.18/463.36
  6. Step 6: Final answer
    x = 630.23

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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.