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Finding the Fourth Proportional to 658.44, 906.21 and 575.82

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Solution

The fourth proportional to 658.44, 906.21 and 575.82 is: 792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.44 : 906.21 = 575.82 : x
  2. Step 2: Convert to fraction form
    658.44/906.21 = 575.82/x
  3. Step 3: Cross multiply
    658.44x = 906.21 × 575.82
  4. Step 4: Simplify right side
    658.44x = 521,813.84
  5. Step 5: Solve for x
    x = 521,813.84/658.44
  6. Step 6: Final answer
    x = 792.50

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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.