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Finding the Fourth Proportional to 1,267.71, 1,901.46 and 343.23

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Solution

The fourth proportional to 1,267.71, 1,901.46 and 343.23 is: 514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.71 : 1,901.46 = 343.23 : x
  2. Step 2: Convert to fraction form
    1,267.71/1,901.46 = 343.23/x
  3. Step 3: Cross multiply
    1,267.71x = 1,901.46 × 343.23
  4. Step 4: Simplify right side
    1,267.71x = 652,638.12
  5. Step 5: Solve for x
    x = 652,638.12/1,267.71
  6. Step 6: Final answer
    x = 514.82

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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.