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Finding the Fourth Proportional to 1,059.40, 1,589.65 and 769.30

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Solution

The fourth proportional to 1,059.40, 1,589.65 and 769.30 is: 1,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.40 : 1,589.65 = 769.30 : x
  2. Step 2: Convert to fraction form
    1,059.40/1,589.65 = 769.30/x
  3. Step 3: Cross multiply
    1,059.40x = 1,589.65 × 769.30
  4. Step 4: Simplify right side
    1,059.40x = 1,222,912.86
  5. Step 5: Solve for x
    x = 1,222,912.86/1,059.40
  6. Step 6: Final answer
    x = 1,154.35

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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.