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Finding the Fourth Proportional to 1,101.31, 1,651.83 and 279.53

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Solution

The fourth proportional to 1,101.31, 1,651.83 and 279.53 is: 419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.31 : 1,651.83 = 279.53 : x
  2. Step 2: Convert to fraction form
    1,101.31/1,651.83 = 279.53/x
  3. Step 3: Cross multiply
    1,101.31x = 1,651.83 × 279.53
  4. Step 4: Simplify right side
    1,101.31x = 461,732.93
  5. Step 5: Solve for x
    x = 461,732.93/1,101.31
  6. Step 6: Final answer
    x = 419.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.