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Finding the Fourth Proportional to 1,069.55, 1,605.53 and 827.15

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Solution

The fourth proportional to 1,069.55, 1,605.53 and 827.15 is: 1,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.55 : 1,605.53 = 827.15 : x
  2. Step 2: Convert to fraction form
    1,069.55/1,605.53 = 827.15/x
  3. Step 3: Cross multiply
    1,069.55x = 1,605.53 × 827.15
  4. Step 4: Simplify right side
    1,069.55x = 1,328,010.00
  5. Step 5: Solve for x
    x = 1,328,010.00/1,069.55
  6. Step 6: Final answer
    x = 1,241.65

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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.