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Finding the Fourth Proportional to 911.23, 1,257.38 and 518.26

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Solution

The fourth proportional to 911.23, 1,257.38 and 518.26 is: 715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.23 : 1,257.38 = 518.26 : x
  2. Step 2: Convert to fraction form
    911.23/1,257.38 = 518.26/x
  3. Step 3: Cross multiply
    911.23x = 1,257.38 × 518.26
  4. Step 4: Simplify right side
    911.23x = 651,644.02
  5. Step 5: Solve for x
    x = 651,644.02/911.23
  6. Step 6: Final answer
    x = 715.13

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1.5x scale

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.