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Finding the Fourth Proportional to 848.44, 1,171.05 and 517.14

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Solution

The fourth proportional to 848.44, 1,171.05 and 517.14 is: 713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.44 : 1,171.05 = 517.14 : x
  2. Step 2: Convert to fraction form
    848.44/1,171.05 = 517.14/x
  3. Step 3: Cross multiply
    848.44x = 1,171.05 × 517.14
  4. Step 4: Simplify right side
    848.44x = 605,596.80
  5. Step 5: Solve for x
    x = 605,596.80/848.44
  6. Step 6: Final answer
    x = 713.78

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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.