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Finding the Fourth Proportional to 610.85, 916.16 and 379.85

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Solution

The fourth proportional to 610.85, 916.16 and 379.85 is: 569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.85 : 916.16 = 379.85 : x
  2. Step 2: Convert to fraction form
    610.85/916.16 = 379.85/x
  3. Step 3: Cross multiply
    610.85x = 916.16 × 379.85
  4. Step 4: Simplify right side
    610.85x = 347,996.90
  5. Step 5: Solve for x
    x = 347,996.90/610.85
  6. Step 6: Final answer
    x = 569.70

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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.