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Finding the Fourth Proportional to 932.58, 1,286.33 and 870.66

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Solution

The fourth proportional to 932.58, 1,286.33 and 870.66 is: 1,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.58 : 1,286.33 = 870.66 : x
  2. Step 2: Convert to fraction form
    932.58/1,286.33 = 870.66/x
  3. Step 3: Cross multiply
    932.58x = 1,286.33 × 870.66
  4. Step 4: Simplify right side
    932.58x = 1,119,956.08
  5. Step 5: Solve for x
    x = 1,119,956.08/932.58
  6. Step 6: Final answer
    x = 1,200.92

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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.