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Finding the Fourth Proportional to 798.20, 1,102.02 and 499.76

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Solution

The fourth proportional to 798.20, 1,102.02 and 499.76 is: 689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.20 : 1,102.02 = 499.76 : x
  2. Step 2: Convert to fraction form
    798.20/1,102.02 = 499.76/x
  3. Step 3: Cross multiply
    798.20x = 1,102.02 × 499.76
  4. Step 4: Simplify right side
    798.20x = 550,745.52
  5. Step 5: Solve for x
    x = 550,745.52/798.20
  6. Step 6: Final answer
    x = 689.98

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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.