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Finding the Fourth Proportional to 652.28, 978.14 and 408.83

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Solution

The fourth proportional to 652.28, 978.14 and 408.83 is: 613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.28 : 978.14 = 408.83 : x
  2. Step 2: Convert to fraction form
    652.28/978.14 = 408.83/x
  3. Step 3: Cross multiply
    652.28x = 978.14 × 408.83
  4. Step 4: Simplify right side
    652.28x = 399,889.11
  5. Step 5: Solve for x
    x = 399,889.11/652.28
  6. Step 6: Final answer
    x = 613.07

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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.