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Finding the Fourth Proportional to 447.17, 669.67 and 309.83

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Solution

The fourth proportional to 447.17, 669.67 and 309.83 is: 463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.17 : 669.67 = 309.83 : x
  2. Step 2: Convert to fraction form
    447.17/669.67 = 309.83/x
  3. Step 3: Cross multiply
    447.17x = 669.67 × 309.83
  4. Step 4: Simplify right side
    447.17x = 207,483.86
  5. Step 5: Solve for x
    x = 207,483.86/447.17
  6. Step 6: Final answer
    x = 463.99

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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.