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Finding the Fourth Proportional to 848.82, 1,171.35 and 823.98

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Solution

The fourth proportional to 848.82, 1,171.35 and 823.98 is: 1,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.82 : 1,171.35 = 823.98 : x
  2. Step 2: Convert to fraction form
    848.82/1,171.35 = 823.98/x
  3. Step 3: Cross multiply
    848.82x = 1,171.35 × 823.98
  4. Step 4: Simplify right side
    848.82x = 965,168.97
  5. Step 5: Solve for x
    x = 965,168.97/848.82
  6. Step 6: Final answer
    x = 1,137.07

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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.