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Finding the Fourth Proportional to 821.95, 1,119.81 and 805.09

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Solution

The fourth proportional to 821.95, 1,119.81 and 805.09 is: 1,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.95 : 1,119.81 = 805.09 : x
  2. Step 2: Convert to fraction form
    821.95/1,119.81 = 805.09/x
  3. Step 3: Cross multiply
    821.95x = 1,119.81 × 805.09
  4. Step 4: Simplify right side
    821.95x = 901,549.02
  5. Step 5: Solve for x
    x = 901,549.02/821.95
  6. Step 6: Final answer
    x = 1,096.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.