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Finding the Fourth Proportional to 916.22, 1,264.46 and 523.37

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Solution

The fourth proportional to 916.22, 1,264.46 and 523.37 is: 722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.22 : 1,264.46 = 523.37 : x
  2. Step 2: Convert to fraction form
    916.22/1,264.46 = 523.37/x
  3. Step 3: Cross multiply
    916.22x = 1,264.46 × 523.37
  4. Step 4: Simplify right side
    916.22x = 661,778.58
  5. Step 5: Solve for x
    x = 661,778.58/916.22
  6. Step 6: Final answer
    x = 722.29

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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.