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Finding the Fourth Proportional to 927.40, 1,391.10 and 745.15

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Solution

The fourth proportional to 927.40, 1,391.10 and 745.15 is: 1,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.40 : 1,391.10 = 745.15 : x
  2. Step 2: Convert to fraction form
    927.40/1,391.10 = 745.15/x
  3. Step 3: Cross multiply
    927.40x = 1,391.10 × 745.15
  4. Step 4: Simplify right side
    927.40x = 1,036,578.17
  5. Step 5: Solve for x
    x = 1,036,578.17/927.40
  6. Step 6: Final answer
    x = 1,117.73

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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.