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Finding the Fourth Proportional to 901.27, 1,350.75 and 489.55

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Solution

The fourth proportional to 901.27, 1,350.75 and 489.55 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.27 : 1,350.75 = 489.55 : x
  2. Step 2: Convert to fraction form
    901.27/1,350.75 = 489.55/x
  3. Step 3: Cross multiply
    901.27x = 1,350.75 × 489.55
  4. Step 4: Simplify right side
    901.27x = 661,259.66
  5. Step 5: Solve for x
    x = 661,259.66/901.27
  6. Step 6: Final answer
    x = 733.70

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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.