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Finding the Fourth Proportional to 1,166.54, 1,748.15 and 698.21

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Solution

The fourth proportional to 1,166.54, 1,748.15 and 698.21 is: 1,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.54 : 1,748.15 = 698.21 : x
  2. Step 2: Convert to fraction form
    1,166.54/1,748.15 = 698.21/x
  3. Step 3: Cross multiply
    1,166.54x = 1,748.15 × 698.21
  4. Step 4: Simplify right side
    1,166.54x = 1,220,563.58
  5. Step 5: Solve for x
    x = 1,220,563.58/1,166.54
  6. Step 6: Final answer
    x = 1,046.32

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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.