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Finding the Fourth Proportional to 876.10, 1,310.89 and 645.65

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Solution

The fourth proportional to 876.10, 1,310.89 and 645.65 is: 966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.10 : 1,310.89 = 645.65 : x
  2. Step 2: Convert to fraction form
    876.10/1,310.89 = 645.65/x
  3. Step 3: Cross multiply
    876.10x = 1,310.89 × 645.65
  4. Step 4: Simplify right side
    876.10x = 846,376.13
  5. Step 5: Solve for x
    x = 846,376.13/876.10
  6. Step 6: Final answer
    x = 966.07

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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.