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Finding the Fourth Proportional to 847.14, 1,168.32 and 548.43

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Solution

The fourth proportional to 847.14, 1,168.32 and 548.43 is: 756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.14 : 1,168.32 = 548.43 : x
  2. Step 2: Convert to fraction form
    847.14/1,168.32 = 548.43/x
  3. Step 3: Cross multiply
    847.14x = 1,168.32 × 548.43
  4. Step 4: Simplify right side
    847.14x = 640,741.74
  5. Step 5: Solve for x
    x = 640,741.74/847.14
  6. Step 6: Final answer
    x = 756.36

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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.