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Finding the Fourth Proportional to 754.82, 1,042.25 and 489.39

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Solution

The fourth proportional to 754.82, 1,042.25 and 489.39 is: 675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.82 : 1,042.25 = 489.39 : x
  2. Step 2: Convert to fraction form
    754.82/1,042.25 = 489.39/x
  3. Step 3: Cross multiply
    754.82x = 1,042.25 × 489.39
  4. Step 4: Simplify right side
    754.82x = 510,064.28
  5. Step 5: Solve for x
    x = 510,064.28/754.82
  6. Step 6: Final answer
    x = 675.74

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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.