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Finding the Fourth Proportional to 1,626.90, 2,440.79 and 531.12

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Solution

The fourth proportional to 1,626.90, 2,440.79 and 531.12 is: 796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.90 : 2,440.79 = 531.12 : x
  2. Step 2: Convert to fraction form
    1,626.90/2,440.79 = 531.12/x
  3. Step 3: Cross multiply
    1,626.90x = 2,440.79 × 531.12
  4. Step 4: Simplify right side
    1,626.90x = 1,296,352.38
  5. Step 5: Solve for x
    x = 1,296,352.38/1,626.90
  6. Step 6: Final answer
    x = 796.82

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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.