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Finding the Fourth Proportional to 614.36, 845.97 and 575.21

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Solution

The fourth proportional to 614.36, 845.97 and 575.21 is: 792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.36 : 845.97 = 575.21 : x
  2. Step 2: Convert to fraction form
    614.36/845.97 = 575.21/x
  3. Step 3: Cross multiply
    614.36x = 845.97 × 575.21
  4. Step 4: Simplify right side
    614.36x = 486,610.40
  5. Step 5: Solve for x
    x = 486,610.40/614.36
  6. Step 6: Final answer
    x = 792.06

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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.