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Finding the Fourth Proportional to 591.22, 815.96 and 425.98

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Solution

The fourth proportional to 591.22, 815.96 and 425.98 is: 587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.22 : 815.96 = 425.98 : x
  2. Step 2: Convert to fraction form
    591.22/815.96 = 425.98/x
  3. Step 3: Cross multiply
    591.22x = 815.96 × 425.98
  4. Step 4: Simplify right side
    591.22x = 347,576.43
  5. Step 5: Solve for x
    x = 347,576.43/591.22
  6. Step 6: Final answer
    x = 587.90

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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.