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Finding the Fourth Proportional to 837.68, 1,157.43 and 808.11

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Solution

The fourth proportional to 837.68, 1,157.43 and 808.11 is: 1,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.68 : 1,157.43 = 808.11 : x
  2. Step 2: Convert to fraction form
    837.68/1,157.43 = 808.11/x
  3. Step 3: Cross multiply
    837.68x = 1,157.43 × 808.11
  4. Step 4: Simplify right side
    837.68x = 935,330.76
  5. Step 5: Solve for x
    x = 935,330.76/837.68
  6. Step 6: Final answer
    x = 1,116.58

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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.