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Finding the Fourth Proportional to 766.03, 1,141.34 and 758.35

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Solution

The fourth proportional to 766.03, 1,141.34 and 758.35 is: 1,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.03 : 1,141.34 = 758.35 : x
  2. Step 2: Convert to fraction form
    766.03/1,141.34 = 758.35/x
  3. Step 3: Cross multiply
    766.03x = 1,141.34 × 758.35
  4. Step 4: Simplify right side
    766.03x = 865,535.48
  5. Step 5: Solve for x
    x = 865,535.48/766.03
  6. Step 6: Final answer
    x = 1,129.89

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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.