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Finding the Fourth Proportional to 966.05, 1,330.08 and 755.96

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Solution

The fourth proportional to 966.05, 1,330.08 and 755.96 is: 1,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.05 : 1,330.08 = 755.96 : x
  2. Step 2: Convert to fraction form
    966.05/1,330.08 = 755.96/x
  3. Step 3: Cross multiply
    966.05x = 1,330.08 × 755.96
  4. Step 4: Simplify right side
    966.05x = 1,005,480.63
  5. Step 5: Solve for x
    x = 1,005,480.63/966.05
  6. Step 6: Final answer
    x = 1,040.82

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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.