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Finding the Fourth Proportional to 966.22, 1,333.07 and 617.02

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Solution

The fourth proportional to 966.22, 1,333.07 and 617.02 is: 851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.22 : 1,333.07 = 617.02 : x
  2. Step 2: Convert to fraction form
    966.22/1,333.07 = 617.02/x
  3. Step 3: Cross multiply
    966.22x = 1,333.07 × 617.02
  4. Step 4: Simplify right side
    966.22x = 822,530.85
  5. Step 5: Solve for x
    x = 822,530.85/966.22
  6. Step 6: Final answer
    x = 851.29

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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.