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Finding the Fourth Proportional to 966.08, 1,334.14 and 825.38

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Solution

The fourth proportional to 966.08, 1,334.14 and 825.38 is: 1,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.08 : 1,334.14 = 825.38 : x
  2. Step 2: Convert to fraction form
    966.08/1,334.14 = 825.38/x
  3. Step 3: Cross multiply
    966.08x = 1,334.14 × 825.38
  4. Step 4: Simplify right side
    966.08x = 1,101,161.68
  5. Step 5: Solve for x
    x = 1,101,161.68/966.08
  6. Step 6: Final answer
    x = 1,139.82

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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.