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Finding the Fourth Proportional to 434.87, 655.44 and 374.73

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Solution

The fourth proportional to 434.87, 655.44 and 374.73 is: 564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.87 : 655.44 = 374.73 : x
  2. Step 2: Convert to fraction form
    434.87/655.44 = 374.73/x
  3. Step 3: Cross multiply
    434.87x = 655.44 × 374.73
  4. Step 4: Simplify right side
    434.87x = 245,609.17
  5. Step 5: Solve for x
    x = 245,609.17/434.87
  6. Step 6: Final answer
    x = 564.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.