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Finding the Fourth Proportional to 610.80, 915.16 and 337.12

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Solution

The fourth proportional to 610.80, 915.16 and 337.12 is: 505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.80 : 915.16 = 337.12 : x
  2. Step 2: Convert to fraction form
    610.80/915.16 = 337.12/x
  3. Step 3: Cross multiply
    610.80x = 915.16 × 337.12
  4. Step 4: Simplify right side
    610.80x = 308,518.74
  5. Step 5: Solve for x
    x = 308,518.74/610.80
  6. Step 6: Final answer
    x = 505.11

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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.