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Finding the Fourth Proportional to 866.84, 1,295.46 and 704.70

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Solution

The fourth proportional to 866.84, 1,295.46 and 704.70 is: 1,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.84 : 1,295.46 = 704.70 : x
  2. Step 2: Convert to fraction form
    866.84/1,295.46 = 704.70/x
  3. Step 3: Cross multiply
    866.84x = 1,295.46 × 704.70
  4. Step 4: Simplify right side
    866.84x = 912,910.66
  5. Step 5: Solve for x
    x = 912,910.66/866.84
  6. Step 6: Final answer
    x = 1,053.15

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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.