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Finding the Fourth Proportional to 1,654.13, 2,282.79 and 955.73

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Solution

The fourth proportional to 1,654.13, 2,282.79 and 955.73 is: 1,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.13 : 2,282.79 = 955.73 : x
  2. Step 2: Convert to fraction form
    1,654.13/2,282.79 = 955.73/x
  3. Step 3: Cross multiply
    1,654.13x = 2,282.79 × 955.73
  4. Step 4: Simplify right side
    1,654.13x = 2,181,719.47
  5. Step 5: Solve for x
    x = 2,181,719.47/1,654.13
  6. Step 6: Final answer
    x = 1,318.96

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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.