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Finding the Fourth Proportional to 652.52, 978.72 and 408.80

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Solution

The fourth proportional to 652.52, 978.72 and 408.80 is: 613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.52 : 978.72 = 408.80 : x
  2. Step 2: Convert to fraction form
    652.52/978.72 = 408.80/x
  3. Step 3: Cross multiply
    652.52x = 978.72 × 408.80
  4. Step 4: Simplify right side
    652.52x = 400,100.74
  5. Step 5: Solve for x
    x = 400,100.74/652.52
  6. Step 6: Final answer
    x = 613.16

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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.