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Finding the Fourth Proportional to 936.34, 1,292.11 and 537.88

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Solution

The fourth proportional to 936.34, 1,292.11 and 537.88 is: 742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.34 : 1,292.11 = 537.88 : x
  2. Step 2: Convert to fraction form
    936.34/1,292.11 = 537.88/x
  3. Step 3: Cross multiply
    936.34x = 1,292.11 × 537.88
  4. Step 4: Simplify right side
    936.34x = 695,000.13
  5. Step 5: Solve for x
    x = 695,000.13/936.34
  6. Step 6: Final answer
    x = 742.25

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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.