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Finding the Fourth Proportional to 962.28, 1,441.80 and 769.50

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Solution

The fourth proportional to 962.28, 1,441.80 and 769.50 is: 1,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.28 : 1,441.80 = 769.50 : x
  2. Step 2: Convert to fraction form
    962.28/1,441.80 = 769.50/x
  3. Step 3: Cross multiply
    962.28x = 1,441.80 × 769.50
  4. Step 4: Simplify right side
    962.28x = 1,109,465.10
  5. Step 5: Solve for x
    x = 1,109,465.10/962.28
  6. Step 6: Final answer
    x = 1,152.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.