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Finding the Fourth Proportional to 733.59, 1,098.94 and 386.41

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Solution

The fourth proportional to 733.59, 1,098.94 and 386.41 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.59 : 1,098.94 = 386.41 : x
  2. Step 2: Convert to fraction form
    733.59/1,098.94 = 386.41/x
  3. Step 3: Cross multiply
    733.59x = 1,098.94 × 386.41
  4. Step 4: Simplify right side
    733.59x = 424,641.41
  5. Step 5: Solve for x
    x = 424,641.41/733.59
  6. Step 6: Final answer
    x = 578.85

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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.