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Finding the Fourth Proportional to 591.57, 820.04 and 568.49

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Solution

The fourth proportional to 591.57, 820.04 and 568.49 is: 788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.57 : 820.04 = 568.49 : x
  2. Step 2: Convert to fraction form
    591.57/820.04 = 568.49/x
  3. Step 3: Cross multiply
    591.57x = 820.04 × 568.49
  4. Step 4: Simplify right side
    591.57x = 466,177.60
  5. Step 5: Solve for x
    x = 466,177.60/591.57
  6. Step 6: Final answer
    x = 788.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.