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Finding the Fourth Proportional to 449.27, 623.36 and 436.50

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Solution

The fourth proportional to 449.27, 623.36 and 436.50 is: 605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.27 : 623.36 = 436.50 : x
  2. Step 2: Convert to fraction form
    449.27/623.36 = 436.50/x
  3. Step 3: Cross multiply
    449.27x = 623.36 × 436.50
  4. Step 4: Simplify right side
    449.27x = 272,094.46
  5. Step 5: Solve for x
    x = 272,094.46/449.27
  6. Step 6: Final answer
    x = 605.64

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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.