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Finding the Fourth Proportional to 966.39, 1,442.58 and 849.62

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Solution

The fourth proportional to 966.39, 1,442.58 and 849.62 is: 1,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.39 : 1,442.58 = 849.62 : x
  2. Step 2: Convert to fraction form
    966.39/1,442.58 = 849.62/x
  3. Step 3: Cross multiply
    966.39x = 1,442.58 × 849.62
  4. Step 4: Simplify right side
    966.39x = 1,225,637.61
  5. Step 5: Solve for x
    x = 1,225,637.61/966.39
  6. Step 6: Final answer
    x = 1,268.27

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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.