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Finding the Fourth Proportional to 685.98, 944.22 and 598.50

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Solution

The fourth proportional to 685.98, 944.22 and 598.50 is: 823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.98 : 944.22 = 598.50 : x
  2. Step 2: Convert to fraction form
    685.98/944.22 = 598.50/x
  3. Step 3: Cross multiply
    685.98x = 944.22 × 598.50
  4. Step 4: Simplify right side
    685.98x = 565,115.67
  5. Step 5: Solve for x
    x = 565,115.67/685.98
  6. Step 6: Final answer
    x = 823.81

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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.