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Finding the Fourth Proportional to 410.57, 613.98 and 306.53

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Solution

The fourth proportional to 410.57, 613.98 and 306.53 is: 458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.57 : 613.98 = 306.53 : x
  2. Step 2: Convert to fraction form
    410.57/613.98 = 306.53/x
  3. Step 3: Cross multiply
    410.57x = 613.98 × 306.53
  4. Step 4: Simplify right side
    410.57x = 188,201.44
  5. Step 5: Solve for x
    x = 188,201.44/410.57
  6. Step 6: Final answer
    x = 458.39

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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.