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Finding the Fourth Proportional to 808.51, 1,209.74 and 677.11

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Solution

The fourth proportional to 808.51, 1,209.74 and 677.11 is: 1,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.51 : 1,209.74 = 677.11 : x
  2. Step 2: Convert to fraction form
    808.51/1,209.74 = 677.11/x
  3. Step 3: Cross multiply
    808.51x = 1,209.74 × 677.11
  4. Step 4: Simplify right side
    808.51x = 819,127.05
  5. Step 5: Solve for x
    x = 819,127.05/808.51
  6. Step 6: Final answer
    x = 1,013.13

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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.