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Finding the Fourth Proportional to 876.87, 1,207.31 and 771.89

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Solution

The fourth proportional to 876.87, 1,207.31 and 771.89 is: 1,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.87 : 1,207.31 = 771.89 : x
  2. Step 2: Convert to fraction form
    876.87/1,207.31 = 771.89/x
  3. Step 3: Cross multiply
    876.87x = 1,207.31 × 771.89
  4. Step 4: Simplify right side
    876.87x = 931,900.62
  5. Step 5: Solve for x
    x = 931,900.62/876.87
  6. Step 6: Final answer
    x = 1,062.76

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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.