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Finding the Fourth Proportional to 1,138.92, 1,702.14 and 831.42

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Solution

The fourth proportional to 1,138.92, 1,702.14 and 831.42 is: 1,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.92 : 1,702.14 = 831.42 : x
  2. Step 2: Convert to fraction form
    1,138.92/1,702.14 = 831.42/x
  3. Step 3: Cross multiply
    1,138.92x = 1,702.14 × 831.42
  4. Step 4: Simplify right side
    1,138.92x = 1,415,193.24
  5. Step 5: Solve for x
    x = 1,415,193.24/1,138.92
  6. Step 6: Final answer
    x = 1,242.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.