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Finding the Fourth Proportional to 876.52, 1,207.27 and 810.81

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Solution

The fourth proportional to 876.52, 1,207.27 and 810.81 is: 1,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.52 : 1,207.27 = 810.81 : x
  2. Step 2: Convert to fraction form
    876.52/1,207.27 = 810.81/x
  3. Step 3: Cross multiply
    876.52x = 1,207.27 × 810.81
  4. Step 4: Simplify right side
    876.52x = 978,867.60
  5. Step 5: Solve for x
    x = 978,867.60/876.52
  6. Step 6: Final answer
    x = 1,116.76

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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.