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Finding the Fourth Proportional to 821.55, 1,134.57 and 656.85

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Solution

The fourth proportional to 821.55, 1,134.57 and 656.85 is: 907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.55 : 1,134.57 = 656.85 : x
  2. Step 2: Convert to fraction form
    821.55/1,134.57 = 656.85/x
  3. Step 3: Cross multiply
    821.55x = 1,134.57 × 656.85
  4. Step 4: Simplify right side
    821.55x = 745,242.30
  5. Step 5: Solve for x
    x = 745,242.30/821.55
  6. Step 6: Final answer
    x = 907.12

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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.