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Finding the Fourth Proportional to 975.78, 1,342.98 and 932.04

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Solution

The fourth proportional to 975.78, 1,342.98 and 932.04 is: 1,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.78 : 1,342.98 = 932.04 : x
  2. Step 2: Convert to fraction form
    975.78/1,342.98 = 932.04/x
  3. Step 3: Cross multiply
    975.78x = 1,342.98 × 932.04
  4. Step 4: Simplify right side
    975.78x = 1,251,711.08
  5. Step 5: Solve for x
    x = 1,251,711.08/975.78
  6. Step 6: Final answer
    x = 1,282.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.