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Finding the Fourth Proportional to 789.80, 1,182.30 and 703.40

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Solution

The fourth proportional to 789.80, 1,182.30 and 703.40 is: 1,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.80 : 1,182.30 = 703.40 : x
  2. Step 2: Convert to fraction form
    789.80/1,182.30 = 703.40/x
  3. Step 3: Cross multiply
    789.80x = 1,182.30 × 703.40
  4. Step 4: Simplify right side
    789.80x = 831,629.82
  5. Step 5: Solve for x
    x = 831,629.82/789.80
  6. Step 6: Final answer
    x = 1,052.96

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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.