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Finding the Fourth Proportional to 1,076.88, 1,614.33 and 419.19

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Solution

The fourth proportional to 1,076.88, 1,614.33 and 419.19 is: 628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.88 : 1,614.33 = 419.19 : x
  2. Step 2: Convert to fraction form
    1,076.88/1,614.33 = 419.19/x
  3. Step 3: Cross multiply
    1,076.88x = 1,614.33 × 419.19
  4. Step 4: Simplify right side
    1,076.88x = 676,708.90
  5. Step 5: Solve for x
    x = 676,708.90/1,076.88
  6. Step 6: Final answer
    x = 628.40

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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.