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Finding the Fourth Proportional to 723.73, 1,086.93 and 377.30

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Solution

The fourth proportional to 723.73, 1,086.93 and 377.30 is: 566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.73 : 1,086.93 = 377.30 : x
  2. Step 2: Convert to fraction form
    723.73/1,086.93 = 377.30/x
  3. Step 3: Cross multiply
    723.73x = 1,086.93 × 377.30
  4. Step 4: Simplify right side
    723.73x = 410,101.41
  5. Step 5: Solve for x
    x = 410,101.41/723.73
  6. Step 6: Final answer
    x = 566.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.