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Finding the Fourth Proportional to 1,383.65, 1,909.46 and 754.18

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Solution

The fourth proportional to 1,383.65, 1,909.46 and 754.18 is: 1,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.65 : 1,909.46 = 754.18 : x
  2. Step 2: Convert to fraction form
    1,383.65/1,909.46 = 754.18/x
  3. Step 3: Cross multiply
    1,383.65x = 1,909.46 × 754.18
  4. Step 4: Simplify right side
    1,383.65x = 1,440,074.16
  5. Step 5: Solve for x
    x = 1,440,074.16/1,383.65
  6. Step 6: Final answer
    x = 1,040.78

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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.