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Finding the Fourth Proportional to 936.49, 1,292.07 and 543.49

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Solution

The fourth proportional to 936.49, 1,292.07 and 543.49 is: 749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.49 : 1,292.07 = 543.49 : x
  2. Step 2: Convert to fraction form
    936.49/1,292.07 = 543.49/x
  3. Step 3: Cross multiply
    936.49x = 1,292.07 × 543.49
  4. Step 4: Simplify right side
    936.49x = 702,227.12
  5. Step 5: Solve for x
    x = 702,227.12/936.49
  6. Step 6: Final answer
    x = 749.85

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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.