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Finding the Fourth Proportional to 866.83, 1,297.14 and 808.90

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Solution

The fourth proportional to 866.83, 1,297.14 and 808.90 is: 1,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.83 : 1,297.14 = 808.90 : x
  2. Step 2: Convert to fraction form
    866.83/1,297.14 = 808.90/x
  3. Step 3: Cross multiply
    866.83x = 1,297.14 × 808.90
  4. Step 4: Simplify right side
    866.83x = 1,049,256.55
  5. Step 5: Solve for x
    x = 1,049,256.55/866.83
  6. Step 6: Final answer
    x = 1,210.45

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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.