Home / 1,278.36-1,917.09-456.48

Finding the Fourth Proportional to 1,278.36, 1,917.09 and 456.48

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Solution

The fourth proportional to 1,278.36, 1,917.09 and 456.48 is: 684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.36 : 1,917.09 = 456.48 : x
  2. Step 2: Convert to fraction form
    1,278.36/1,917.09 = 456.48/x
  3. Step 3: Cross multiply
    1,278.36x = 1,917.09 × 456.48
  4. Step 4: Simplify right side
    1,278.36x = 875,113.24
  5. Step 5: Solve for x
    x = 875,113.24/1,278.36
  6. Step 6: Final answer
    x = 684.56

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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.