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Finding the Fourth Proportional to 447.17, 669.43 and 292.59

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Solution

The fourth proportional to 447.17, 669.43 and 292.59 is: 438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.17 : 669.43 = 292.59 : x
  2. Step 2: Convert to fraction form
    447.17/669.43 = 292.59/x
  3. Step 3: Cross multiply
    447.17x = 669.43 × 292.59
  4. Step 4: Simplify right side
    447.17x = 195,868.89
  5. Step 5: Solve for x
    x = 195,868.89/447.17
  6. Step 6: Final answer
    x = 438.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.