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Finding the Fourth Proportional to 723.95, 998.44 and 471.94

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Solution

The fourth proportional to 723.95, 998.44 and 471.94 is: 650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.95 : 998.44 = 471.94 : x
  2. Step 2: Convert to fraction form
    723.95/998.44 = 471.94/x
  3. Step 3: Cross multiply
    723.95x = 998.44 × 471.94
  4. Step 4: Simplify right side
    723.95x = 471,203.77
  5. Step 5: Solve for x
    x = 471,203.77/723.95
  6. Step 6: Final answer
    x = 650.88

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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.