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Finding the Fourth Proportional to 960.74, 1,325.78 and 541.16

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Solution

The fourth proportional to 960.74, 1,325.78 and 541.16 is: 746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.74 : 1,325.78 = 541.16 : x
  2. Step 2: Convert to fraction form
    960.74/1,325.78 = 541.16/x
  3. Step 3: Cross multiply
    960.74x = 1,325.78 × 541.16
  4. Step 4: Simplify right side
    960.74x = 717,449.77
  5. Step 5: Solve for x
    x = 717,449.77/960.74
  6. Step 6: Final answer
    x = 746.77

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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.