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Finding the Fourth Proportional to 866.75, 1,195.83 and 534.83

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Solution

The fourth proportional to 866.75, 1,195.83 and 534.83 is: 737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.75 : 1,195.83 = 534.83 : x
  2. Step 2: Convert to fraction form
    866.75/1,195.83 = 534.83/x
  3. Step 3: Cross multiply
    866.75x = 1,195.83 × 534.83
  4. Step 4: Simplify right side
    866.75x = 639,565.76
  5. Step 5: Solve for x
    x = 639,565.76/866.75
  6. Step 6: Final answer
    x = 737.89

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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.