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Finding the Fourth Proportional to 564.60, 762.21 and 564.60

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Solution

The fourth proportional to 564.60, 762.21 and 564.60 is: 762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.60 : 762.21 = 564.60 : x
  2. Step 2: Convert to fraction form
    564.60/762.21 = 564.60/x
  3. Step 3: Cross multiply
    564.60x = 762.21 × 564.60
  4. Step 4: Simplify right side
    564.60x = 430,343.77
  5. Step 5: Solve for x
    x = 430,343.77/564.60
  6. Step 6: Final answer
    x = 762.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.