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Finding the Fourth Proportional to 1,278.57, 1,917.79 and 354.16

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Solution

The fourth proportional to 1,278.57, 1,917.79 and 354.16 is: 531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.57 : 1,917.79 = 354.16 : x
  2. Step 2: Convert to fraction form
    1,278.57/1,917.79 = 354.16/x
  3. Step 3: Cross multiply
    1,278.57x = 1,917.79 × 354.16
  4. Step 4: Simplify right side
    1,278.57x = 679,193.15
  5. Step 5: Solve for x
    x = 679,193.15/1,278.57
  6. Step 6: Final answer
    x = 531.21

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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.