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Finding the Fourth Proportional to 876.24, 1,200.63 and 863.28

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Solution

The fourth proportional to 876.24, 1,200.63 and 863.28 is: 1,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.24 : 1,200.63 = 863.28 : x
  2. Step 2: Convert to fraction form
    876.24/1,200.63 = 863.28/x
  3. Step 3: Cross multiply
    876.24x = 1,200.63 × 863.28
  4. Step 4: Simplify right side
    876.24x = 1,036,479.87
  5. Step 5: Solve for x
    x = 1,036,479.87/876.24
  6. Step 6: Final answer
    x = 1,182.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.