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Finding the Fourth Proportional to 738.20, 1,017.78 and 489.13

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Solution

The fourth proportional to 738.20, 1,017.78 and 489.13 is: 674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.20 : 1,017.78 = 489.13 : x
  2. Step 2: Convert to fraction form
    738.20/1,017.78 = 489.13/x
  3. Step 3: Cross multiply
    738.20x = 1,017.78 × 489.13
  4. Step 4: Simplify right side
    738.20x = 497,826.73
  5. Step 5: Solve for x
    x = 497,826.73/738.20
  6. Step 6: Final answer
    x = 674.38

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1.5x scale

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.