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Finding the Fourth Proportional to 911.46, 1,257.75 and 715.44

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Solution

The fourth proportional to 911.46, 1,257.75 and 715.44 is: 987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.46 : 1,257.75 = 715.44 : x
  2. Step 2: Convert to fraction form
    911.46/1,257.75 = 715.44/x
  3. Step 3: Cross multiply
    911.46x = 1,257.75 × 715.44
  4. Step 4: Simplify right side
    911.46x = 899,844.66
  5. Step 5: Solve for x
    x = 899,844.66/911.46
  6. Step 6: Final answer
    x = 987.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.