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Finding the Fourth Proportional to 733.98, 1,101.49 and 499.13

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Solution

The fourth proportional to 733.98, 1,101.49 and 499.13 is: 749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.98 : 1,101.49 = 499.13 : x
  2. Step 2: Convert to fraction form
    733.98/1,101.49 = 499.13/x
  3. Step 3: Cross multiply
    733.98x = 1,101.49 × 499.13
  4. Step 4: Simplify right side
    733.98x = 549,786.70
  5. Step 5: Solve for x
    x = 549,786.70/733.98
  6. Step 6: Final answer
    x = 749.05

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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.