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Finding the Fourth Proportional to 409.59, 613.31 and 287.55

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Solution

The fourth proportional to 409.59, 613.31 and 287.55 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.59 : 613.31 = 287.55 : x
  2. Step 2: Convert to fraction form
    409.59/613.31 = 287.55/x
  3. Step 3: Cross multiply
    409.59x = 613.31 × 287.55
  4. Step 4: Simplify right side
    409.59x = 176,355.85
  5. Step 5: Solve for x
    x = 176,355.85/409.59
  6. Step 6: Final answer
    x = 430.57

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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.