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Finding the Fourth Proportional to 911.39, 1,257.73 and 562.28

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Solution

The fourth proportional to 911.39, 1,257.73 and 562.28 is: 775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.39 : 1,257.73 = 562.28 : x
  2. Step 2: Convert to fraction form
    911.39/1,257.73 = 562.28/x
  3. Step 3: Cross multiply
    911.39x = 1,257.73 × 562.28
  4. Step 4: Simplify right side
    911.39x = 707,188.73
  5. Step 5: Solve for x
    x = 707,188.73/911.39
  6. Step 6: Final answer
    x = 775.95

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Why These Related Problems?

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