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Finding the Fourth Proportional to 652.68, 978.78 and 327.82

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Solution

The fourth proportional to 652.68, 978.78 and 327.82 is: 491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.68 : 978.78 = 327.82 : x
  2. Step 2: Convert to fraction form
    652.68/978.78 = 327.82/x
  3. Step 3: Cross multiply
    652.68x = 978.78 × 327.82
  4. Step 4: Simplify right side
    652.68x = 320,863.66
  5. Step 5: Solve for x
    x = 320,863.66/652.68
  6. Step 6: Final answer
    x = 491.61

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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.