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Finding the Fourth Proportional to 591.38, 816.20 and 575.78

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Solution

The fourth proportional to 591.38, 816.20 and 575.78 is: 794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.38 : 816.20 = 575.78 : x
  2. Step 2: Convert to fraction form
    591.38/816.20 = 575.78/x
  3. Step 3: Cross multiply
    591.38x = 816.20 × 575.78
  4. Step 4: Simplify right side
    591.38x = 469,951.64
  5. Step 5: Solve for x
    x = 469,951.64/591.38
  6. Step 6: Final answer
    x = 794.67

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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.