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Finding the Fourth Proportional to 1,069.44, 1,474.32 and 958.20

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Solution

The fourth proportional to 1,069.44, 1,474.32 and 958.20 is: 1,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.44 : 1,474.32 = 958.20 : x
  2. Step 2: Convert to fraction form
    1,069.44/1,474.32 = 958.20/x
  3. Step 3: Cross multiply
    1,069.44x = 1,474.32 × 958.20
  4. Step 4: Simplify right side
    1,069.44x = 1,412,693.42
  5. Step 5: Solve for x
    x = 1,412,693.42/1,069.44
  6. Step 6: Final answer
    x = 1,320.97

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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.