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Finding the Fourth Proportional to 1,033.86, 1,426.97 and 702.42

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Solution

The fourth proportional to 1,033.86, 1,426.97 and 702.42 is: 969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.86 : 1,426.97 = 702.42 : x
  2. Step 2: Convert to fraction form
    1,033.86/1,426.97 = 702.42/x
  3. Step 3: Cross multiply
    1,033.86x = 1,426.97 × 702.42
  4. Step 4: Simplify right side
    1,033.86x = 1,002,332.75
  5. Step 5: Solve for x
    x = 1,002,332.75/1,033.86
  6. Step 6: Final answer
    x = 969.50

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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.