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Finding the Fourth Proportional to 838.99, 1,254.89 and 605.26

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Solution

The fourth proportional to 838.99, 1,254.89 and 605.26 is: 905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.99 : 1,254.89 = 605.26 : x
  2. Step 2: Convert to fraction form
    838.99/1,254.89 = 605.26/x
  3. Step 3: Cross multiply
    838.99x = 1,254.89 × 605.26
  4. Step 4: Simplify right side
    838.99x = 759,534.72
  5. Step 5: Solve for x
    x = 759,534.72/838.99
  6. Step 6: Final answer
    x = 905.30

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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.