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Finding the Fourth Proportional to 964.60, 1,438.59 and 871.18

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Solution

The fourth proportional to 964.60, 1,438.59 and 871.18 is: 1,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.60 : 1,438.59 = 871.18 : x
  2. Step 2: Convert to fraction form
    964.60/1,438.59 = 871.18/x
  3. Step 3: Cross multiply
    964.60x = 1,438.59 × 871.18
  4. Step 4: Simplify right side
    964.60x = 1,253,263.64
  5. Step 5: Solve for x
    x = 1,253,263.64/964.60
  6. Step 6: Final answer
    x = 1,299.26

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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.