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Finding the Fourth Proportional to 1,038.48, 1,433.26 and 744.72

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Solution

The fourth proportional to 1,038.48, 1,433.26 and 744.72 is: 1,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.48 : 1,433.26 = 744.72 : x
  2. Step 2: Convert to fraction form
    1,038.48/1,433.26 = 744.72/x
  3. Step 3: Cross multiply
    1,038.48x = 1,433.26 × 744.72
  4. Step 4: Simplify right side
    1,038.48x = 1,067,377.39
  5. Step 5: Solve for x
    x = 1,067,377.39/1,038.48
  6. Step 6: Final answer
    x = 1,027.83

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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.