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Finding the Fourth Proportional to 1,069.85, 1,605.27 and 453.70

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Solution

The fourth proportional to 1,069.85, 1,605.27 and 453.70 is: 680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.85 : 1,605.27 = 453.70 : x
  2. Step 2: Convert to fraction form
    1,069.85/1,605.27 = 453.70/x
  3. Step 3: Cross multiply
    1,069.85x = 1,605.27 × 453.70
  4. Step 4: Simplify right side
    1,069.85x = 728,300.70
  5. Step 5: Solve for x
    x = 728,300.70/1,069.85
  6. Step 6: Final answer
    x = 680.75

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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.