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Finding the Fourth Proportional to 564.60, 769.80 and 564.60

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Solution

The fourth proportional to 564.60, 769.80 and 564.60 is: 769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.60 : 769.80 = 564.60 : x
  2. Step 2: Convert to fraction form
    564.60/769.80 = 564.60/x
  3. Step 3: Cross multiply
    564.60x = 769.80 × 564.60
  4. Step 4: Simplify right side
    564.60x = 434,629.08
  5. Step 5: Solve for x
    x = 434,629.08/564.60
  6. Step 6: Final answer
    x = 769.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.