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Finding the Fourth Proportional to 600.71, 827.87 and 442.98

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Solution

The fourth proportional to 600.71, 827.87 and 442.98 is: 610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.71 : 827.87 = 442.98 : x
  2. Step 2: Convert to fraction form
    600.71/827.87 = 442.98/x
  3. Step 3: Cross multiply
    600.71x = 827.87 × 442.98
  4. Step 4: Simplify right side
    600.71x = 366,727.64
  5. Step 5: Solve for x
    x = 366,727.64/600.71
  6. Step 6: Final answer
    x = 610.50

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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.