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Finding the Fourth Proportional to 966.57, 1,334.43 and 635.57

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Solution

The fourth proportional to 966.57, 1,334.43 and 635.57 is: 877.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.57 : 1,334.43 = 635.57 : x
  2. Step 2: Convert to fraction form
    966.57/1,334.43 = 635.57/x
  3. Step 3: Cross multiply
    966.57x = 1,334.43 × 635.57
  4. Step 4: Simplify right side
    966.57x = 848,123.68
  5. Step 5: Solve for x
    x = 848,123.68/966.57
  6. Step 6: Final answer
    x = 877.46

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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.