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Finding the Fourth Proportional to 821.30, 1,132.88 and 506.66

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Solution

The fourth proportional to 821.30, 1,132.88 and 506.66 is: 698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.30 : 1,132.88 = 506.66 : x
  2. Step 2: Convert to fraction form
    821.30/1,132.88 = 506.66/x
  3. Step 3: Cross multiply
    821.30x = 1,132.88 × 506.66
  4. Step 4: Simplify right side
    821.30x = 573,976.78
  5. Step 5: Solve for x
    x = 573,976.78/821.30
  6. Step 6: Final answer
    x = 698.87

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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.