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Finding the Fourth Proportional to 932.84, 1,287.83 and 559.91

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Solution

The fourth proportional to 932.84, 1,287.83 and 559.91 is: 772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.84 : 1,287.83 = 559.91 : x
  2. Step 2: Convert to fraction form
    932.84/1,287.83 = 559.91/x
  3. Step 3: Cross multiply
    932.84x = 1,287.83 × 559.91
  4. Step 4: Simplify right side
    932.84x = 721,062.46
  5. Step 5: Solve for x
    x = 721,062.46/932.84
  6. Step 6: Final answer
    x = 772.98

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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.