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Finding the Fourth Proportional to 789.42, 1,184.03 and 678.70

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Solution

The fourth proportional to 789.42, 1,184.03 and 678.70 is: 1,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.42 : 1,184.03 = 678.70 : x
  2. Step 2: Convert to fraction form
    789.42/1,184.03 = 678.70/x
  3. Step 3: Cross multiply
    789.42x = 1,184.03 × 678.70
  4. Step 4: Simplify right side
    789.42x = 803,601.16
  5. Step 5: Solve for x
    x = 803,601.16/789.42
  6. Step 6: Final answer
    x = 1,017.96

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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.