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Finding the Fourth Proportional to 652.46, 979.26 and 344.51

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Solution

The fourth proportional to 652.46, 979.26 and 344.51 is: 517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.46 : 979.26 = 344.51 : x
  2. Step 2: Convert to fraction form
    652.46/979.26 = 344.51/x
  3. Step 3: Cross multiply
    652.46x = 979.26 × 344.51
  4. Step 4: Simplify right side
    652.46x = 337,367.85
  5. Step 5: Solve for x
    x = 337,367.85/652.46
  6. Step 6: Final answer
    x = 517.07

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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.