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Finding the Fourth Proportional to 1,252.50, 1,729.25 and 804.55

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Solution

The fourth proportional to 1,252.50, 1,729.25 and 804.55 is: 1,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.50 : 1,729.25 = 804.55 : x
  2. Step 2: Convert to fraction form
    1,252.50/1,729.25 = 804.55/x
  3. Step 3: Cross multiply
    1,252.50x = 1,729.25 × 804.55
  4. Step 4: Simplify right side
    1,252.50x = 1,391,266.00
  5. Step 5: Solve for x
    x = 1,391,266.00/1,252.50
  6. Step 6: Final answer
    x = 1,110.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.