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Finding the Fourth Proportional to 1,309.24, 1,963.86 and 431.83

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Solution

The fourth proportional to 1,309.24, 1,963.86 and 431.83 is: 647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.24 : 1,963.86 = 431.83 : x
  2. Step 2: Convert to fraction form
    1,309.24/1,963.86 = 431.83/x
  3. Step 3: Cross multiply
    1,309.24x = 1,963.86 × 431.83
  4. Step 4: Simplify right side
    1,309.24x = 848,053.66
  5. Step 5: Solve for x
    x = 848,053.66/1,309.24
  6. Step 6: Final answer
    x = 647.75

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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.