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Finding the Fourth Proportional to 652.41, 978.75 and 344.09

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Solution

The fourth proportional to 652.41, 978.75 and 344.09 is: 516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.41 : 978.75 = 344.09 : x
  2. Step 2: Convert to fraction form
    652.41/978.75 = 344.09/x
  3. Step 3: Cross multiply
    652.41x = 978.75 × 344.09
  4. Step 4: Simplify right side
    652.41x = 336,780.53
  5. Step 5: Solve for x
    x = 336,780.53/652.41
  6. Step 6: Final answer
    x = 516.21

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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.