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Finding the Fourth Proportional to 1,288.86, 1,778.52 and 729.30

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Solution

The fourth proportional to 1,288.86, 1,778.52 and 729.30 is: 1,006.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.86 : 1,778.52 = 729.30 : x
  2. Step 2: Convert to fraction form
    1,288.86/1,778.52 = 729.30/x
  3. Step 3: Cross multiply
    1,288.86x = 1,778.52 × 729.30
  4. Step 4: Simplify right side
    1,288.86x = 1,297,074.64
  5. Step 5: Solve for x
    x = 1,297,074.64/1,288.86
  6. Step 6: Final answer
    x = 1,006.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.