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Finding the Fourth Proportional to 891.12, 1,233.18 and 836.58

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Solution

The fourth proportional to 891.12, 1,233.18 and 836.58 is: 1,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.12 : 1,233.18 = 836.58 : x
  2. Step 2: Convert to fraction form
    891.12/1,233.18 = 836.58/x
  3. Step 3: Cross multiply
    891.12x = 1,233.18 × 836.58
  4. Step 4: Simplify right side
    891.12x = 1,031,653.72
  5. Step 5: Solve for x
    x = 1,031,653.72/891.12
  6. Step 6: Final answer
    x = 1,157.70

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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.