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Finding the Fourth Proportional to 723.59, 998.20 and 474.80

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Solution

The fourth proportional to 723.59, 998.20 and 474.80 is: 654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.59 : 998.20 = 474.80 : x
  2. Step 2: Convert to fraction form
    723.59/998.20 = 474.80/x
  3. Step 3: Cross multiply
    723.59x = 998.20 × 474.80
  4. Step 4: Simplify right side
    723.59x = 473,945.36
  5. Step 5: Solve for x
    x = 473,945.36/723.59
  6. Step 6: Final answer
    x = 654.99

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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.