Home / 1,217.80-1,827.24-438.04

Finding the Fourth Proportional to 1,217.80, 1,827.24 and 438.04

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Solution

The fourth proportional to 1,217.80, 1,827.24 and 438.04 is: 657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.80 : 1,827.24 = 438.04 : x
  2. Step 2: Convert to fraction form
    1,217.80/1,827.24 = 438.04/x
  3. Step 3: Cross multiply
    1,217.80x = 1,827.24 × 438.04
  4. Step 4: Simplify right side
    1,217.80x = 800,404.21
  5. Step 5: Solve for x
    x = 800,404.21/1,217.80
  6. Step 6: Final answer
    x = 657.25

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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.