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Finding the Fourth Proportional to 486.29, 669.26 and 446.96

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Solution

The fourth proportional to 486.29, 669.26 and 446.96 is: 615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.29 : 669.26 = 446.96 : x
  2. Step 2: Convert to fraction form
    486.29/669.26 = 446.96/x
  3. Step 3: Cross multiply
    486.29x = 669.26 × 446.96
  4. Step 4: Simplify right side
    486.29x = 299,126.87
  5. Step 5: Solve for x
    x = 299,126.87/486.29
  6. Step 6: Final answer
    x = 615.13

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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.