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Finding the Fourth Proportional to 866.19, 1,290.66 and 824.34

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Solution

The fourth proportional to 866.19, 1,290.66 and 824.34 is: 1,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.19 : 1,290.66 = 824.34 : x
  2. Step 2: Convert to fraction form
    866.19/1,290.66 = 824.34/x
  3. Step 3: Cross multiply
    866.19x = 1,290.66 × 824.34
  4. Step 4: Simplify right side
    866.19x = 1,063,942.66
  5. Step 5: Solve for x
    x = 1,063,942.66/866.19
  6. Step 6: Final answer
    x = 1,228.30

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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.