Home / 1,219.12-1,827.96-478.78

Finding the Fourth Proportional to 1,219.12, 1,827.96 and 478.78

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Solution

The fourth proportional to 1,219.12, 1,827.96 and 478.78 is: 717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.12 : 1,827.96 = 478.78 : x
  2. Step 2: Convert to fraction form
    1,219.12/1,827.96 = 478.78/x
  3. Step 3: Cross multiply
    1,219.12x = 1,827.96 × 478.78
  4. Step 4: Simplify right side
    1,219.12x = 875,190.69
  5. Step 5: Solve for x
    x = 875,190.69/1,219.12
  6. Step 6: Final answer
    x = 717.89

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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.