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Finding the Fourth Proportional to 486.67, 733.59 and 458.44

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Solution

The fourth proportional to 486.67, 733.59 and 458.44 is: 691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.67 : 733.59 = 458.44 : x
  2. Step 2: Convert to fraction form
    486.67/733.59 = 458.44/x
  3. Step 3: Cross multiply
    486.67x = 733.59 × 458.44
  4. Step 4: Simplify right side
    486.67x = 336,309.29
  5. Step 5: Solve for x
    x = 336,309.29/486.67
  6. Step 6: Final answer
    x = 691.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.