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Finding the Fourth Proportional to 780.82, 1,171.92 and 698.42

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Solution

The fourth proportional to 780.82, 1,171.92 and 698.42 is: 1,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.82 : 1,171.92 = 698.42 : x
  2. Step 2: Convert to fraction form
    780.82/1,171.92 = 698.42/x
  3. Step 3: Cross multiply
    780.82x = 1,171.92 × 698.42
  4. Step 4: Simplify right side
    780.82x = 818,492.37
  5. Step 5: Solve for x
    x = 818,492.37/780.82
  6. Step 6: Final answer
    x = 1,048.25

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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.