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Finding the Fourth Proportional to 1,278.31, 1,917.60 and 353.88

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Solution

The fourth proportional to 1,278.31, 1,917.60 and 353.88 is: 530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.31 : 1,917.60 = 353.88 : x
  2. Step 2: Convert to fraction form
    1,278.31/1,917.60 = 353.88/x
  3. Step 3: Cross multiply
    1,278.31x = 1,917.60 × 353.88
  4. Step 4: Simplify right side
    1,278.31x = 678,600.29
  5. Step 5: Solve for x
    x = 678,600.29/1,278.31
  6. Step 6: Final answer
    x = 530.86

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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.