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Finding the Fourth Proportional to 833.27, 1,248.65 and 659.22

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Solution

The fourth proportional to 833.27, 1,248.65 and 659.22 is: 987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.27 : 1,248.65 = 659.22 : x
  2. Step 2: Convert to fraction form
    833.27/1,248.65 = 659.22/x
  3. Step 3: Cross multiply
    833.27x = 1,248.65 × 659.22
  4. Step 4: Simplify right side
    833.27x = 823,136.57
  5. Step 5: Solve for x
    x = 823,136.57/833.27
  6. Step 6: Final answer
    x = 987.84

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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.