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Finding the Fourth Proportional to 1,278.89, 1,918.43 and 354.48

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Solution

The fourth proportional to 1,278.89, 1,918.43 and 354.48 is: 531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.89 : 1,918.43 = 354.48 : x
  2. Step 2: Convert to fraction form
    1,278.89/1,918.43 = 354.48/x
  3. Step 3: Cross multiply
    1,278.89x = 1,918.43 × 354.48
  4. Step 4: Simplify right side
    1,278.89x = 680,039.42
  5. Step 5: Solve for x
    x = 680,039.42/1,278.89
  6. Step 6: Final answer
    x = 531.74

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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.