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Finding the Fourth Proportional to 1,071.24, 1,605.48 and 550.81

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Solution

The fourth proportional to 1,071.24, 1,605.48 and 550.81 is: 825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.24 : 1,605.48 = 550.81 : x
  2. Step 2: Convert to fraction form
    1,071.24/1,605.48 = 550.81/x
  3. Step 3: Cross multiply
    1,071.24x = 1,605.48 × 550.81
  4. Step 4: Simplify right side
    1,071.24x = 884,314.44
  5. Step 5: Solve for x
    x = 884,314.44/1,071.24
  6. Step 6: Final answer
    x = 825.51

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Double scale
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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.