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Finding the Fourth Proportional to 723.87, 998.80 and 475.40

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Solution

The fourth proportional to 723.87, 998.80 and 475.40 is: 655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.87 : 998.80 = 475.40 : x
  2. Step 2: Convert to fraction form
    723.87/998.80 = 475.40/x
  3. Step 3: Cross multiply
    723.87x = 998.80 × 475.40
  4. Step 4: Simplify right side
    723.87x = 474,830.83
  5. Step 5: Solve for x
    x = 474,830.83/723.87
  6. Step 6: Final answer
    x = 655.96

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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.