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Finding the Fourth Proportional to 1,049.85, 1,447.68 and 901.01

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Solution

The fourth proportional to 1,049.85, 1,447.68 and 901.01 is: 1,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.85 : 1,447.68 = 901.01 : x
  2. Step 2: Convert to fraction form
    1,049.85/1,447.68 = 901.01/x
  3. Step 3: Cross multiply
    1,049.85x = 1,447.68 × 901.01
  4. Step 4: Simplify right side
    1,049.85x = 1,304,374.16
  5. Step 5: Solve for x
    x = 1,304,374.16/1,049.85
  6. Step 6: Final answer
    x = 1,242.44

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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.