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Finding the Fourth Proportional to 891.40, 1,333.82 and 784.48

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Solution

The fourth proportional to 891.40, 1,333.82 and 784.48 is: 1,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.40 : 1,333.82 = 784.48 : x
  2. Step 2: Convert to fraction form
    891.40/1,333.82 = 784.48/x
  3. Step 3: Cross multiply
    891.40x = 1,333.82 × 784.48
  4. Step 4: Simplify right side
    891.40x = 1,046,355.11
  5. Step 5: Solve for x
    x = 1,046,355.11/891.40
  6. Step 6: Final answer
    x = 1,173.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.