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Finding the Fourth Proportional to 652.26, 979.23 and 409.80

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Solution

The fourth proportional to 652.26, 979.23 and 409.80 is: 615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.26 : 979.23 = 409.80 : x
  2. Step 2: Convert to fraction form
    652.26/979.23 = 409.80/x
  3. Step 3: Cross multiply
    652.26x = 979.23 × 409.80
  4. Step 4: Simplify right side
    652.26x = 401,288.45
  5. Step 5: Solve for x
    x = 401,288.45/652.26
  6. Step 6: Final answer
    x = 615.23

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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.