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Finding the Fourth Proportional to 738.72, 1,107.92 and 263.87

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Solution

The fourth proportional to 738.72, 1,107.92 and 263.87 is: 395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.72 : 1,107.92 = 263.87 : x
  2. Step 2: Convert to fraction form
    738.72/1,107.92 = 263.87/x
  3. Step 3: Cross multiply
    738.72x = 1,107.92 × 263.87
  4. Step 4: Simplify right side
    738.72x = 292,339.99
  5. Step 5: Solve for x
    x = 292,339.99/738.72
  6. Step 6: Final answer
    x = 395.74

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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.