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Finding the Fourth Proportional to 745.12, 1,110.65 and 686.80

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Solution

The fourth proportional to 745.12, 1,110.65 and 686.80 is: 1,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.12 : 1,110.65 = 686.80 : x
  2. Step 2: Convert to fraction form
    745.12/1,110.65 = 686.80/x
  3. Step 3: Cross multiply
    745.12x = 1,110.65 × 686.80
  4. Step 4: Simplify right side
    745.12x = 762,794.42
  5. Step 5: Solve for x
    x = 762,794.42/745.12
  6. Step 6: Final answer
    x = 1,023.72

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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.