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Finding the Fourth Proportional to 876.08, 1,311.68 and 798.32

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Solution

The fourth proportional to 876.08, 1,311.68 and 798.32 is: 1,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.08 : 1,311.68 = 798.32 : x
  2. Step 2: Convert to fraction form
    876.08/1,311.68 = 798.32/x
  3. Step 3: Cross multiply
    876.08x = 1,311.68 × 798.32
  4. Step 4: Simplify right side
    876.08x = 1,047,140.38
  5. Step 5: Solve for x
    x = 1,047,140.38/876.08
  6. Step 6: Final answer
    x = 1,195.26

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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.