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Finding the Fourth Proportional to 834.43, 1,250.76 and 307

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Solution

The fourth proportional to 834.43, 1,250.76 and 307 is: 460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.43 : 1,250.76 = 307 : x
  2. Step 2: Convert to fraction form
    834.43/1,250.76 = 307/x
  3. Step 3: Cross multiply
    834.43x = 1,250.76 × 307
  4. Step 4: Simplify right side
    834.43x = 383,983.32
  5. Step 5: Solve for x
    x = 383,983.32/834.43
  6. Step 6: Final answer
    x = 460.17

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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.