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Finding the Fourth Proportional to 461.86, 637.88 and 314.24

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Solution

The fourth proportional to 461.86, 637.88 and 314.24 is: 433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.86 : 637.88 = 314.24 : x
  2. Step 2: Convert to fraction form
    461.86/637.88 = 314.24/x
  3. Step 3: Cross multiply
    461.86x = 637.88 × 314.24
  4. Step 4: Simplify right side
    461.86x = 200,442.65
  5. Step 5: Solve for x
    x = 200,442.65/461.86
  6. Step 6: Final answer
    x = 433.99

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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.