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Finding the Fourth Proportional to 1,984.26, 2,976.17 and 503.48

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Solution

The fourth proportional to 1,984.26, 2,976.17 and 503.48 is: 755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.26 : 2,976.17 = 503.48 : x
  2. Step 2: Convert to fraction form
    1,984.26/2,976.17 = 503.48/x
  3. Step 3: Cross multiply
    1,984.26x = 2,976.17 × 503.48
  4. Step 4: Simplify right side
    1,984.26x = 1,498,424.67
  5. Step 5: Solve for x
    x = 1,498,424.67/1,984.26
  6. Step 6: Final answer
    x = 755.16

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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.