Home / 1,211.28-1,817.10-431.22

Finding the Fourth Proportional to 1,211.28, 1,817.10 and 431.22

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Solution

The fourth proportional to 1,211.28, 1,817.10 and 431.22 is: 646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.28 : 1,817.10 = 431.22 : x
  2. Step 2: Convert to fraction form
    1,211.28/1,817.10 = 431.22/x
  3. Step 3: Cross multiply
    1,211.28x = 1,817.10 × 431.22
  4. Step 4: Simplify right side
    1,211.28x = 783,569.86
  5. Step 5: Solve for x
    x = 783,569.86/1,211.28
  6. Step 6: Final answer
    x = 646.89

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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.