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Finding the Fourth Proportional to 960.78, 1,325.85 and 546.78

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Solution

The fourth proportional to 960.78, 1,325.85 and 546.78 is: 754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.78 : 1,325.85 = 546.78 : x
  2. Step 2: Convert to fraction form
    960.78/1,325.85 = 546.78/x
  3. Step 3: Cross multiply
    960.78x = 1,325.85 × 546.78
  4. Step 4: Simplify right side
    960.78x = 724,948.26
  5. Step 5: Solve for x
    x = 724,948.26/960.78
  6. Step 6: Final answer
    x = 754.54

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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.