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Finding the Fourth Proportional to 601.56, 825.26 and 564.30

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Solution

The fourth proportional to 601.56, 825.26 and 564.30 is: 774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.56 : 825.26 = 564.30 : x
  2. Step 2: Convert to fraction form
    601.56/825.26 = 564.30/x
  3. Step 3: Cross multiply
    601.56x = 825.26 × 564.30
  4. Step 4: Simplify right side
    601.56x = 465,691.40
  5. Step 5: Solve for x
    x = 465,691.40/601.56
  6. Step 6: Final answer
    x = 774.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.