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Finding the Fourth Proportional to 911.25, 1,257.53 and 562.55

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Solution

The fourth proportional to 911.25, 1,257.53 and 562.55 is: 776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.25 : 1,257.53 = 562.55 : x
  2. Step 2: Convert to fraction form
    911.25/1,257.53 = 562.55/x
  3. Step 3: Cross multiply
    911.25x = 1,257.53 × 562.55
  4. Step 4: Simplify right side
    911.25x = 707,414.40
  5. Step 5: Solve for x
    x = 707,414.40/911.25
  6. Step 6: Final answer
    x = 776.31

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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.