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Finding the Fourth Proportional to 960.46, 1,325.10 and 763.54

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Solution

The fourth proportional to 960.46, 1,325.10 and 763.54 is: 1,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.46 : 1,325.10 = 763.54 : x
  2. Step 2: Convert to fraction form
    960.46/1,325.10 = 763.54/x
  3. Step 3: Cross multiply
    960.46x = 1,325.10 × 763.54
  4. Step 4: Simplify right side
    960.46x = 1,011,766.85
  5. Step 5: Solve for x
    x = 1,011,766.85/960.46
  6. Step 6: Final answer
    x = 1,053.42

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1.5x scale

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.