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Finding the Fourth Proportional to 449.60, 624.17 and 436.23

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Solution

The fourth proportional to 449.60, 624.17 and 436.23 is: 605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.60 : 624.17 = 436.23 : x
  2. Step 2: Convert to fraction form
    449.60/624.17 = 436.23/x
  3. Step 3: Cross multiply
    449.60x = 624.17 × 436.23
  4. Step 4: Simplify right side
    449.60x = 272,282.77
  5. Step 5: Solve for x
    x = 272,282.77/449.60
  6. Step 6: Final answer
    x = 605.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.