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Finding the Fourth Proportional to 967.67, 1,331.92 and 808.51

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Solution

The fourth proportional to 967.67, 1,331.92 and 808.51 is: 1,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.67 : 1,331.92 = 808.51 : x
  2. Step 2: Convert to fraction form
    967.67/1,331.92 = 808.51/x
  3. Step 3: Cross multiply
    967.67x = 1,331.92 × 808.51
  4. Step 4: Simplify right side
    967.67x = 1,076,864.80
  5. Step 5: Solve for x
    x = 1,076,864.80/967.67
  6. Step 6: Final answer
    x = 1,112.84

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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.