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Finding the Fourth Proportional to 960.24, 1,325.28 and 611.76

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Solution

The fourth proportional to 960.24, 1,325.28 and 611.76 is: 844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.24 : 1,325.28 = 611.76 : x
  2. Step 2: Convert to fraction form
    960.24/1,325.28 = 611.76/x
  3. Step 3: Cross multiply
    960.24x = 1,325.28 × 611.76
  4. Step 4: Simplify right side
    960.24x = 810,753.29
  5. Step 5: Solve for x
    x = 810,753.29/960.24
  6. Step 6: Final answer
    x = 844.32

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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.