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Finding the Fourth Proportional to 461.86, 637.38 and 314.56

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Solution

The fourth proportional to 461.86, 637.38 and 314.56 is: 434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.86 : 637.38 = 314.56 : x
  2. Step 2: Convert to fraction form
    461.86/637.38 = 314.56/x
  3. Step 3: Cross multiply
    461.86x = 637.38 × 314.56
  4. Step 4: Simplify right side
    461.86x = 200,494.25
  5. Step 5: Solve for x
    x = 200,494.25/461.86
  6. Step 6: Final answer
    x = 434.10

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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.