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Finding the Fourth Proportional to 449.75, 621.45 and 431.52

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Solution

The fourth proportional to 449.75, 621.45 and 431.52 is: 596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.75 : 621.45 = 431.52 : x
  2. Step 2: Convert to fraction form
    449.75/621.45 = 431.52/x
  3. Step 3: Cross multiply
    449.75x = 621.45 × 431.52
  4. Step 4: Simplify right side
    449.75x = 268,168.10
  5. Step 5: Solve for x
    x = 268,168.10/449.75
  6. Step 6: Final answer
    x = 596.27

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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.