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Finding the Fourth Proportional to 410.89, 613.40 and 396.47

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Solution

The fourth proportional to 410.89, 613.40 and 396.47 is: 591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.89 : 613.40 = 396.47 : x
  2. Step 2: Convert to fraction form
    410.89/613.40 = 396.47/x
  3. Step 3: Cross multiply
    410.89x = 613.40 × 396.47
  4. Step 4: Simplify right side
    410.89x = 243,196.15
  5. Step 5: Solve for x
    x = 243,196.15/410.89
  6. Step 6: Final answer
    x = 591.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.