Home / 1,278.78-1,917.70-456.83

Finding the Fourth Proportional to 1,278.78, 1,917.70 and 456.83

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Solution

The fourth proportional to 1,278.78, 1,917.70 and 456.83 is: 685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.78 : 1,917.70 = 456.83 : x
  2. Step 2: Convert to fraction form
    1,278.78/1,917.70 = 456.83/x
  3. Step 3: Cross multiply
    1,278.78x = 1,917.70 × 456.83
  4. Step 4: Simplify right side
    1,278.78x = 876,062.89
  5. Step 5: Solve for x
    x = 876,062.89/1,278.78
  6. Step 6: Final answer
    x = 685.08

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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.