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Finding the Fourth Proportional to 1,309.67, 1,963.26 and 487.38

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Solution

The fourth proportional to 1,309.67, 1,963.26 and 487.38 is: 730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.67 : 1,963.26 = 487.38 : x
  2. Step 2: Convert to fraction form
    1,309.67/1,963.26 = 487.38/x
  3. Step 3: Cross multiply
    1,309.67x = 1,963.26 × 487.38
  4. Step 4: Simplify right side
    1,309.67x = 956,853.66
  5. Step 5: Solve for x
    x = 956,853.66/1,309.67
  6. Step 6: Final answer
    x = 730.61

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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.