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Finding the Fourth Proportional to 473.74, 712.26 and 383.09

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Solution

The fourth proportional to 473.74, 712.26 and 383.09 is: 575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.74 : 712.26 = 383.09 : x
  2. Step 2: Convert to fraction form
    473.74/712.26 = 383.09/x
  3. Step 3: Cross multiply
    473.74x = 712.26 × 383.09
  4. Step 4: Simplify right side
    473.74x = 272,856.12
  5. Step 5: Solve for x
    x = 272,856.12/473.74
  6. Step 6: Final answer
    x = 575.96

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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.