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Finding the Fourth Proportional to 1,278.37, 1,917.72 and 353.98

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Solution

The fourth proportional to 1,278.37, 1,917.72 and 353.98 is: 531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.37 : 1,917.72 = 353.98 : x
  2. Step 2: Convert to fraction form
    1,278.37/1,917.72 = 353.98/x
  3. Step 3: Cross multiply
    1,278.37x = 1,917.72 × 353.98
  4. Step 4: Simplify right side
    1,278.37x = 678,832.76
  5. Step 5: Solve for x
    x = 678,832.76/1,278.37
  6. Step 6: Final answer
    x = 531.01

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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.