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Finding the Fourth Proportional to 1,278.41, 1,917.39 and 353.74

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Solution

The fourth proportional to 1,278.41, 1,917.39 and 353.74 is: 530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.41 : 1,917.39 = 353.74 : x
  2. Step 2: Convert to fraction form
    1,278.41/1,917.39 = 353.74/x
  3. Step 3: Cross multiply
    1,278.41x = 1,917.39 × 353.74
  4. Step 4: Simplify right side
    1,278.41x = 678,258.42
  5. Step 5: Solve for x
    x = 678,258.42/1,278.41
  6. Step 6: Final answer
    x = 530.55

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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.