Home / 1,217.71-1,827.31-487.23

Finding the Fourth Proportional to 1,217.71, 1,827.31 and 487.23

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Solution

The fourth proportional to 1,217.71, 1,827.31 and 487.23 is: 731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.71 : 1,827.31 = 487.23 : x
  2. Step 2: Convert to fraction form
    1,217.71/1,827.31 = 487.23/x
  3. Step 3: Cross multiply
    1,217.71x = 1,827.31 × 487.23
  4. Step 4: Simplify right side
    1,217.71x = 890,320.25
  5. Step 5: Solve for x
    x = 890,320.25/1,217.71
  6. Step 6: Final answer
    x = 731.14

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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.