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Finding the Fourth Proportional to 891.10, 1,328.81 and 820.18

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Solution

The fourth proportional to 891.10, 1,328.81 and 820.18 is: 1,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.10 : 1,328.81 = 820.18 : x
  2. Step 2: Convert to fraction form
    891.10/1,328.81 = 820.18/x
  3. Step 3: Cross multiply
    891.10x = 1,328.81 × 820.18
  4. Step 4: Simplify right side
    891.10x = 1,089,863.39
  5. Step 5: Solve for x
    x = 1,089,863.39/891.10
  6. Step 6: Final answer
    x = 1,223.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.