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Finding the Fourth Proportional to 876.63, 1,314.96 and 823.17

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Solution

The fourth proportional to 876.63, 1,314.96 and 823.17 is: 1,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.63 : 1,314.96 = 823.17 : x
  2. Step 2: Convert to fraction form
    876.63/1,314.96 = 823.17/x
  3. Step 3: Cross multiply
    876.63x = 1,314.96 × 823.17
  4. Step 4: Simplify right side
    876.63x = 1,082,435.62
  5. Step 5: Solve for x
    x = 1,082,435.62/876.63
  6. Step 6: Final answer
    x = 1,234.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.