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Finding the Fourth Proportional to 810.11, 1,209.84 and 801.60

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Solution

The fourth proportional to 810.11, 1,209.84 and 801.60 is: 1,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.11 : 1,209.84 = 801.60 : x
  2. Step 2: Convert to fraction form
    810.11/1,209.84 = 801.60/x
  3. Step 3: Cross multiply
    810.11x = 1,209.84 × 801.60
  4. Step 4: Simplify right side
    810.11x = 969,810.75
  5. Step 5: Solve for x
    x = 969,810.75/810.11
  6. Step 6: Final answer
    x = 1,197.14

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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.