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Finding the Fourth Proportional to 652.93, 979.68 and 344.71

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Solution

The fourth proportional to 652.93, 979.68 and 344.71 is: 517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.93 : 979.68 = 344.71 : x
  2. Step 2: Convert to fraction form
    652.93/979.68 = 344.71/x
  3. Step 3: Cross multiply
    652.93x = 979.68 × 344.71
  4. Step 4: Simplify right side
    652.93x = 337,705.49
  5. Step 5: Solve for x
    x = 337,705.49/652.93
  6. Step 6: Final answer
    x = 517.22

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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.