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Finding the Fourth Proportional to 891.11, 1,228.32 and 713.50

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Solution

The fourth proportional to 891.11, 1,228.32 and 713.50 is: 983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.11 : 1,228.32 = 713.50 : x
  2. Step 2: Convert to fraction form
    891.11/1,228.32 = 713.50/x
  3. Step 3: Cross multiply
    891.11x = 1,228.32 × 713.50
  4. Step 4: Simplify right side
    891.11x = 876,403.25
  5. Step 5: Solve for x
    x = 876,403.25/891.11
  6. Step 6: Final answer
    x = 983.49

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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.