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Finding the Fourth Proportional to 610.85, 916.95 and 245.89

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Solution

The fourth proportional to 610.85, 916.95 and 245.89 is: 369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.85 : 916.95 = 245.89 : x
  2. Step 2: Convert to fraction form
    610.85/916.95 = 245.89/x
  3. Step 3: Cross multiply
    610.85x = 916.95 × 245.89
  4. Step 4: Simplify right side
    610.85x = 225,470.90
  5. Step 5: Solve for x
    x = 225,470.90/610.85
  6. Step 6: Final answer
    x = 369.11

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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.