Home / 1,278.09-1,917.12-456.42

Finding the Fourth Proportional to 1,278.09, 1,917.12 and 456.42

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Solution

The fourth proportional to 1,278.09, 1,917.12 and 456.42 is: 684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.09 : 1,917.12 = 456.42 : x
  2. Step 2: Convert to fraction form
    1,278.09/1,917.12 = 456.42/x
  3. Step 3: Cross multiply
    1,278.09x = 1,917.12 × 456.42
  4. Step 4: Simplify right side
    1,278.09x = 875,011.91
  5. Step 5: Solve for x
    x = 875,011.91/1,278.09
  6. Step 6: Final answer
    x = 684.62

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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.