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Finding the Fourth Proportional to 599.78, 898.27 and 461.73

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Solution

The fourth proportional to 599.78, 898.27 and 461.73 is: 691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 898.27 = 461.73 : x
  2. Step 2: Convert to fraction form
    599.78/898.27 = 461.73/x
  3. Step 3: Cross multiply
    599.78x = 898.27 × 461.73
  4. Step 4: Simplify right side
    599.78x = 414,758.21
  5. Step 5: Solve for x
    x = 414,758.21/599.78
  6. Step 6: Final answer
    x = 691.52

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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.