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Finding the Fourth Proportional to 1,010.88, 1,517.76 and 937.92

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Solution

The fourth proportional to 1,010.88, 1,517.76 and 937.92 is: 1,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.88 : 1,517.76 = 937.92 : x
  2. Step 2: Convert to fraction form
    1,010.88/1,517.76 = 937.92/x
  3. Step 3: Cross multiply
    1,010.88x = 1,517.76 × 937.92
  4. Step 4: Simplify right side
    1,010.88x = 1,423,537.46
  5. Step 5: Solve for x
    x = 1,423,537.46/1,010.88
  6. Step 6: Final answer
    x = 1,408.22

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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.