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Finding the Fourth Proportional to 847, 1,168.86 and 536.50

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Solution

The fourth proportional to 847, 1,168.86 and 536.50 is: 740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    847 : 1,168.86 = 536.50 : x
  2. Step 2: Convert to fraction form
    847/1,168.86 = 536.50/x
  3. Step 3: Cross multiply
    847x = 1,168.86 × 536.50
  4. Step 4: Simplify right side
    847x = 627,093.39
  5. Step 5: Solve for x
    x = 627,093.39/847
  6. Step 6: Final answer
    x = 740.37

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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.