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Finding the Fourth Proportional to 891.77, 1,335.63 and 728.69

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Solution

The fourth proportional to 891.77, 1,335.63 and 728.69 is: 1,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.77 : 1,335.63 = 728.69 : x
  2. Step 2: Convert to fraction form
    891.77/1,335.63 = 728.69/x
  3. Step 3: Cross multiply
    891.77x = 1,335.63 × 728.69
  4. Step 4: Simplify right side
    891.77x = 973,260.22
  5. Step 5: Solve for x
    x = 973,260.22/891.77
  6. Step 6: Final answer
    x = 1,091.38

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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.