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Finding the Fourth Proportional to 610.68, 916.56 and 337.04

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Solution

The fourth proportional to 610.68, 916.56 and 337.04 is: 505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.68 : 916.56 = 337.04 : x
  2. Step 2: Convert to fraction form
    610.68/916.56 = 337.04/x
  3. Step 3: Cross multiply
    610.68x = 916.56 × 337.04
  4. Step 4: Simplify right side
    610.68x = 308,917.38
  5. Step 5: Solve for x
    x = 308,917.38/610.68
  6. Step 6: Final answer
    x = 505.86

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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.