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Finding the Fourth Proportional to 866.75, 1,307.40 and 816.23

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Solution

The fourth proportional to 866.75, 1,307.40 and 816.23 is: 1,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.75 : 1,307.40 = 816.23 : x
  2. Step 2: Convert to fraction form
    866.75/1,307.40 = 816.23/x
  3. Step 3: Cross multiply
    866.75x = 1,307.40 × 816.23
  4. Step 4: Simplify right side
    866.75x = 1,067,139.10
  5. Step 5: Solve for x
    x = 1,067,139.10/866.75
  6. Step 6: Final answer
    x = 1,231.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.