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Finding the Fourth Proportional to 733.30, 1,098.82 and 488.94

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Solution

The fourth proportional to 733.30, 1,098.82 and 488.94 is: 732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.30 : 1,098.82 = 488.94 : x
  2. Step 2: Convert to fraction form
    733.30/1,098.82 = 488.94/x
  3. Step 3: Cross multiply
    733.30x = 1,098.82 × 488.94
  4. Step 4: Simplify right side
    733.30x = 537,257.05
  5. Step 5: Solve for x
    x = 537,257.05/733.30
  6. Step 6: Final answer
    x = 732.66

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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.