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Finding the Fourth Proportional to 486.89, 725.84 and 448.01

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Solution

The fourth proportional to 486.89, 725.84 and 448.01 is: 667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.89 : 725.84 = 448.01 : x
  2. Step 2: Convert to fraction form
    486.89/725.84 = 448.01/x
  3. Step 3: Cross multiply
    486.89x = 725.84 × 448.01
  4. Step 4: Simplify right side
    486.89x = 325,177.71
  5. Step 5: Solve for x
    x = 325,177.71/486.89
  6. Step 6: Final answer
    x = 667.87

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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.