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Finding the Fourth Proportional to 605.51, 908.53 and 258.88

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Solution

The fourth proportional to 605.51, 908.53 and 258.88 is: 388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.51 : 908.53 = 258.88 : x
  2. Step 2: Convert to fraction form
    605.51/908.53 = 258.88/x
  3. Step 3: Cross multiply
    605.51x = 908.53 × 258.88
  4. Step 4: Simplify right side
    605.51x = 235,200.25
  5. Step 5: Solve for x
    x = 235,200.25/605.51
  6. Step 6: Final answer
    x = 388.43

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