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Finding the Fourth Proportional to 962.28, 1,436.92 and 789.30

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Solution

The fourth proportional to 962.28, 1,436.92 and 789.30 is: 1,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.28 : 1,436.92 = 789.30 : x
  2. Step 2: Convert to fraction form
    962.28/1,436.92 = 789.30/x
  3. Step 3: Cross multiply
    962.28x = 1,436.92 × 789.30
  4. Step 4: Simplify right side
    962.28x = 1,134,158.98
  5. Step 5: Solve for x
    x = 1,134,158.98/962.28
  6. Step 6: Final answer
    x = 1,178.62

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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.