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Finding the Fourth Proportional to 410.20, 617.53 and 314.44

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Solution

The fourth proportional to 410.20, 617.53 and 314.44 is: 473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.20 : 617.53 = 314.44 : x
  2. Step 2: Convert to fraction form
    410.20/617.53 = 314.44/x
  3. Step 3: Cross multiply
    410.20x = 617.53 × 314.44
  4. Step 4: Simplify right side
    410.20x = 194,176.13
  5. Step 5: Solve for x
    x = 194,176.13/410.20
  6. Step 6: Final answer
    x = 473.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.