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Finding the Fourth Proportional to 932.45, 1,398.69 and 688.23

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Solution

The fourth proportional to 932.45, 1,398.69 and 688.23 is: 1,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.45 : 1,398.69 = 688.23 : x
  2. Step 2: Convert to fraction form
    932.45/1,398.69 = 688.23/x
  3. Step 3: Cross multiply
    932.45x = 1,398.69 × 688.23
  4. Step 4: Simplify right side
    932.45x = 962,620.42
  5. Step 5: Solve for x
    x = 962,620.42/932.45
  6. Step 6: Final answer
    x = 1,032.36

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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.