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Finding the Fourth Proportional to 723.74, 998.78 and 444.12

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Solution

The fourth proportional to 723.74, 998.78 and 444.12 is: 612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.74 : 998.78 = 444.12 : x
  2. Step 2: Convert to fraction form
    723.74/998.78 = 444.12/x
  3. Step 3: Cross multiply
    723.74x = 998.78 × 444.12
  4. Step 4: Simplify right side
    723.74x = 443,575.95
  5. Step 5: Solve for x
    x = 443,575.95/723.74
  6. Step 6: Final answer
    x = 612.90

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1.5x scale

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.