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Finding the Fourth Proportional to 605.48, 906.30 and 564.20

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Solution

The fourth proportional to 605.48, 906.30 and 564.20 is: 844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.48 : 906.30 = 564.20 : x
  2. Step 2: Convert to fraction form
    605.48/906.30 = 564.20/x
  3. Step 3: Cross multiply
    605.48x = 906.30 × 564.20
  4. Step 4: Simplify right side
    605.48x = 511,334.46
  5. Step 5: Solve for x
    x = 511,334.46/605.48
  6. Step 6: Final answer
    x = 844.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.