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Finding the Fourth Proportional to 461.12, 694.25 and 317.78

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Solution

The fourth proportional to 461.12, 694.25 and 317.78 is: 478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 694.25 = 317.78 : x
  2. Step 2: Convert to fraction form
    461.12/694.25 = 317.78/x
  3. Step 3: Cross multiply
    461.12x = 694.25 × 317.78
  4. Step 4: Simplify right side
    461.12x = 220,618.77
  5. Step 5: Solve for x
    x = 220,618.77/461.12
  6. Step 6: Final answer
    x = 478.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.