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Finding the Fourth Proportional to 610.85, 911.12 and 512.20

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Solution

The fourth proportional to 610.85, 911.12 and 512.20 is: 763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.85 : 911.12 = 512.20 : x
  2. Step 2: Convert to fraction form
    610.85/911.12 = 512.20/x
  3. Step 3: Cross multiply
    610.85x = 911.12 × 512.20
  4. Step 4: Simplify right side
    610.85x = 466,674.38
  5. Step 5: Solve for x
    x = 466,674.38/610.85
  6. Step 6: Final answer
    x = 763.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.