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Finding the Fourth Proportional to 932.64, 1,399.92 and 689.76

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Solution

The fourth proportional to 932.64, 1,399.92 and 689.76 is: 1,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.64 : 1,399.92 = 689.76 : x
  2. Step 2: Convert to fraction form
    932.64/1,399.92 = 689.76/x
  3. Step 3: Cross multiply
    932.64x = 1,399.92 × 689.76
  4. Step 4: Simplify right side
    932.64x = 965,608.82
  5. Step 5: Solve for x
    x = 965,608.82/932.64
  6. Step 6: Final answer
    x = 1,035.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.