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Finding the Fourth Proportional to 1,065.77, 1,591.46 and 871.15

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Solution

The fourth proportional to 1,065.77, 1,591.46 and 871.15 is: 1,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.77 : 1,591.46 = 871.15 : x
  2. Step 2: Convert to fraction form
    1,065.77/1,591.46 = 871.15/x
  3. Step 3: Cross multiply
    1,065.77x = 1,591.46 × 871.15
  4. Step 4: Simplify right side
    1,065.77x = 1,386,400.75
  5. Step 5: Solve for x
    x = 1,386,400.75/1,065.77
  6. Step 6: Final answer
    x = 1,300.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.