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Finding the Fourth Proportional to 449.34, 669.74 and 432.73

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Solution

The fourth proportional to 449.34, 669.74 and 432.73 is: 644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.34 : 669.74 = 432.73 : x
  2. Step 2: Convert to fraction form
    449.34/669.74 = 432.73/x
  3. Step 3: Cross multiply
    449.34x = 669.74 × 432.73
  4. Step 4: Simplify right side
    449.34x = 289,816.59
  5. Step 5: Solve for x
    x = 289,816.59/449.34
  6. Step 6: Final answer
    x = 644.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.