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Finding the Fourth Proportional to 1,216.91, 1,677.58 and 866.99

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Solution

The fourth proportional to 1,216.91, 1,677.58 and 866.99 is: 1,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.91 : 1,677.58 = 866.99 : x
  2. Step 2: Convert to fraction form
    1,216.91/1,677.58 = 866.99/x
  3. Step 3: Cross multiply
    1,216.91x = 1,677.58 × 866.99
  4. Step 4: Simplify right side
    1,216.91x = 1,454,442.55
  5. Step 5: Solve for x
    x = 1,454,442.55/1,216.91
  6. Step 6: Final answer
    x = 1,195.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.