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Finding the Fourth Proportional to 614.61, 845.91 and 489.87

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Solution

The fourth proportional to 614.61, 845.91 and 489.87 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.61 : 845.91 = 489.87 : x
  2. Step 2: Convert to fraction form
    614.61/845.91 = 489.87/x
  3. Step 3: Cross multiply
    614.61x = 845.91 × 489.87
  4. Step 4: Simplify right side
    614.61x = 414,385.93
  5. Step 5: Solve for x
    x = 414,385.93/614.61
  6. Step 6: Final answer
    x = 674.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.