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Finding the Fourth Proportional to 834.17, 1,251.47 and 340.27

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Solution

The fourth proportional to 834.17, 1,251.47 and 340.27 is: 510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.17 : 1,251.47 = 340.27 : x
  2. Step 2: Convert to fraction form
    834.17/1,251.47 = 340.27/x
  3. Step 3: Cross multiply
    834.17x = 1,251.47 × 340.27
  4. Step 4: Simplify right side
    834.17x = 425,835.42
  5. Step 5: Solve for x
    x = 425,835.42/834.17
  6. Step 6: Final answer
    x = 510.49

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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.