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Finding the Fourth Proportional to 758.63, 1,131.80 and 685.73

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Solution

The fourth proportional to 758.63, 1,131.80 and 685.73 is: 1,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.63 : 1,131.80 = 685.73 : x
  2. Step 2: Convert to fraction form
    758.63/1,131.80 = 685.73/x
  3. Step 3: Cross multiply
    758.63x = 1,131.80 × 685.73
  4. Step 4: Simplify right side
    758.63x = 776,100.13
  5. Step 5: Solve for x
    x = 776,100.13/758.63
  6. Step 6: Final answer
    x = 1,023.04

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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.