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Finding the Fourth Proportional to 821.59, 1,134.35 and 645.27

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Solution

The fourth proportional to 821.59, 1,134.35 and 645.27 is: 890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.59 : 1,134.35 = 645.27 : x
  2. Step 2: Convert to fraction form
    821.59/1,134.35 = 645.27/x
  3. Step 3: Cross multiply
    821.59x = 1,134.35 × 645.27
  4. Step 4: Simplify right side
    821.59x = 731,956.96
  5. Step 5: Solve for x
    x = 731,956.96/821.59
  6. Step 6: Final answer
    x = 890.91

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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.