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Finding the Fourth Proportional to 489.39, 737.40 and 404.61

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Solution

The fourth proportional to 489.39, 737.40 and 404.61 is: 609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.39 : 737.40 = 404.61 : x
  2. Step 2: Convert to fraction form
    489.39/737.40 = 404.61/x
  3. Step 3: Cross multiply
    489.39x = 737.40 × 404.61
  4. Step 4: Simplify right side
    489.39x = 298,359.41
  5. Step 5: Solve for x
    x = 298,359.41/489.39
  6. Step 6: Final answer
    x = 609.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.