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Finding the Fourth Proportional to 810.82, 1,206.50 and 808.09

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Solution

The fourth proportional to 810.82, 1,206.50 and 808.09 is: 1,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.82 : 1,206.50 = 808.09 : x
  2. Step 2: Convert to fraction form
    810.82/1,206.50 = 808.09/x
  3. Step 3: Cross multiply
    810.82x = 1,206.50 × 808.09
  4. Step 4: Simplify right side
    810.82x = 974,953.53
  5. Step 5: Solve for x
    x = 974,953.53/810.82
  6. Step 6: Final answer
    x = 1,202.43

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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.