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Finding the Fourth Proportional to 964.80, 1,331.01 and 743.40

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Solution

The fourth proportional to 964.80, 1,331.01 and 743.40 is: 1,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.80 : 1,331.01 = 743.40 : x
  2. Step 2: Convert to fraction form
    964.80/1,331.01 = 743.40/x
  3. Step 3: Cross multiply
    964.80x = 1,331.01 × 743.40
  4. Step 4: Simplify right side
    964.80x = 989,472.83
  5. Step 5: Solve for x
    x = 989,472.83/964.80
  6. Step 6: Final answer
    x = 1,025.57

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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.