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Finding the Fourth Proportional to 798.02, 1,101.81 and 499.39

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Solution

The fourth proportional to 798.02, 1,101.81 and 499.39 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.02 : 1,101.81 = 499.39 : x
  2. Step 2: Convert to fraction form
    798.02/1,101.81 = 499.39/x
  3. Step 3: Cross multiply
    798.02x = 1,101.81 × 499.39
  4. Step 4: Simplify right side
    798.02x = 550,232.01
  5. Step 5: Solve for x
    x = 550,232.01/798.02
  6. Step 6: Final answer
    x = 689.50

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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.