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Finding the Fourth Proportional to 761.85, 1,135.20 and 740.65

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Solution

The fourth proportional to 761.85, 1,135.20 and 740.65 is: 1,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.85 : 1,135.20 = 740.65 : x
  2. Step 2: Convert to fraction form
    761.85/1,135.20 = 740.65/x
  3. Step 3: Cross multiply
    761.85x = 1,135.20 × 740.65
  4. Step 4: Simplify right side
    761.85x = 840,785.88
  5. Step 5: Solve for x
    x = 840,785.88/761.85
  6. Step 6: Final answer
    x = 1,103.61

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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.