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Finding the Fourth Proportional to 601.20, 905.61 and 564.76

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Solution

The fourth proportional to 601.20, 905.61 and 564.76 is: 850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 905.61 = 564.76 : x
  2. Step 2: Convert to fraction form
    601.20/905.61 = 564.76/x
  3. Step 3: Cross multiply
    601.20x = 905.61 × 564.76
  4. Step 4: Simplify right side
    601.20x = 511,452.30
  5. Step 5: Solve for x
    x = 511,452.30/601.20
  6. Step 6: Final answer
    x = 850.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.