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Finding the Fourth Proportional to 821.17, 1,133.90 and 560.35

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Solution

The fourth proportional to 821.17, 1,133.90 and 560.35 is: 773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.17 : 1,133.90 = 560.35 : x
  2. Step 2: Convert to fraction form
    821.17/1,133.90 = 560.35/x
  3. Step 3: Cross multiply
    821.17x = 1,133.90 × 560.35
  4. Step 4: Simplify right side
    821.17x = 635,380.87
  5. Step 5: Solve for x
    x = 635,380.87/821.17
  6. Step 6: Final answer
    x = 773.75

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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.