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Finding the Fourth Proportional to 449.02, 617.92 and 415.54

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Solution

The fourth proportional to 449.02, 617.92 and 415.54 is: 571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.02 : 617.92 = 415.54 : x
  2. Step 2: Convert to fraction form
    449.02/617.92 = 415.54/x
  3. Step 3: Cross multiply
    449.02x = 617.92 × 415.54
  4. Step 4: Simplify right side
    449.02x = 256,770.48
  5. Step 5: Solve for x
    x = 256,770.48/449.02
  6. Step 6: Final answer
    x = 571.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.