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Finding the Fourth Proportional to 463.86, 642.90 and 455.22

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Solution

The fourth proportional to 463.86, 642.90 and 455.22 is: 630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 642.90 = 455.22 : x
  2. Step 2: Convert to fraction form
    463.86/642.90 = 455.22/x
  3. Step 3: Cross multiply
    463.86x = 642.90 × 455.22
  4. Step 4: Simplify right side
    463.86x = 292,660.94
  5. Step 5: Solve for x
    x = 292,660.94/463.86
  6. Step 6: Final answer
    x = 630.93

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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.