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Finding the Fourth Proportional to 576.06, 867.45 and 489.69

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Solution

The fourth proportional to 576.06, 867.45 and 489.69 is: 737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.06 : 867.45 = 489.69 : x
  2. Step 2: Convert to fraction form
    576.06/867.45 = 489.69/x
  3. Step 3: Cross multiply
    576.06x = 867.45 × 489.69
  4. Step 4: Simplify right side
    576.06x = 424,781.59
  5. Step 5: Solve for x
    x = 424,781.59/576.06
  6. Step 6: Final answer
    x = 737.39

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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.