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Finding the Fourth Proportional to 610.60, 914.55 and 489.10

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Solution

The fourth proportional to 610.60, 914.55 and 489.10 is: 732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.60 : 914.55 = 489.10 : x
  2. Step 2: Convert to fraction form
    610.60/914.55 = 489.10/x
  3. Step 3: Cross multiply
    610.60x = 914.55 × 489.10
  4. Step 4: Simplify right side
    610.60x = 447,306.41
  5. Step 5: Solve for x
    x = 447,306.41/610.60
  6. Step 6: Final answer
    x = 732.57

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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.