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Finding the Fourth Proportional to 821.80, 1,134.86 and 560.58

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Solution

The fourth proportional to 821.80, 1,134.86 and 560.58 is: 774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.80 : 1,134.86 = 560.58 : x
  2. Step 2: Convert to fraction form
    821.80/1,134.86 = 560.58/x
  3. Step 3: Cross multiply
    821.80x = 1,134.86 × 560.58
  4. Step 4: Simplify right side
    821.80x = 636,179.82
  5. Step 5: Solve for x
    x = 636,179.82/821.80
  6. Step 6: Final answer
    x = 774.13

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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.