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Finding the Fourth Proportional to 966.20, 1,442.23 and 830.12

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Solution

The fourth proportional to 966.20, 1,442.23 and 830.12 is: 1,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.20 : 1,442.23 = 830.12 : x
  2. Step 2: Convert to fraction form
    966.20/1,442.23 = 830.12/x
  3. Step 3: Cross multiply
    966.20x = 1,442.23 × 830.12
  4. Step 4: Simplify right side
    966.20x = 1,197,223.97
  5. Step 5: Solve for x
    x = 1,197,223.97/966.20
  6. Step 6: Final answer
    x = 1,239.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.