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Finding the Fourth Proportional to 749, 1,033.86 and 438.44

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Solution

The fourth proportional to 749, 1,033.86 and 438.44 is: 605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    749 : 1,033.86 = 438.44 : x
  2. Step 2: Convert to fraction form
    749/1,033.86 = 438.44/x
  3. Step 3: Cross multiply
    749x = 1,033.86 × 438.44
  4. Step 4: Simplify right side
    749x = 453,285.58
  5. Step 5: Solve for x
    x = 453,285.58/749
  6. Step 6: Final answer
    x = 605.19

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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.