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Finding the Fourth Proportional to 1,069.58, 1,604.06 and 411.40

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Solution

The fourth proportional to 1,069.58, 1,604.06 and 411.40 is: 616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.58 : 1,604.06 = 411.40 : x
  2. Step 2: Convert to fraction form
    1,069.58/1,604.06 = 411.40/x
  3. Step 3: Cross multiply
    1,069.58x = 1,604.06 × 411.40
  4. Step 4: Simplify right side
    1,069.58x = 659,917.44
  5. Step 5: Solve for x
    x = 659,917.44/1,069.58
  6. Step 6: Final answer
    x = 616.99

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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.