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Finding the Fourth Proportional to 610.62, 915.85 and 317.80

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Solution

The fourth proportional to 610.62, 915.85 and 317.80 is: 476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.62 : 915.85 = 317.80 : x
  2. Step 2: Convert to fraction form
    610.62/915.85 = 317.80/x
  3. Step 3: Cross multiply
    610.62x = 915.85 × 317.80
  4. Step 4: Simplify right side
    610.62x = 291,057.13
  5. Step 5: Solve for x
    x = 291,057.13/610.62
  6. Step 6: Final answer
    x = 476.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.