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Finding the Fourth Proportional to 798.40, 1,100.64 and 601.92

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Solution

The fourth proportional to 798.40, 1,100.64 and 601.92 is: 829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.40 : 1,100.64 = 601.92 : x
  2. Step 2: Convert to fraction form
    798.40/1,100.64 = 601.92/x
  3. Step 3: Cross multiply
    798.40x = 1,100.64 × 601.92
  4. Step 4: Simplify right side
    798.40x = 662,497.23
  5. Step 5: Solve for x
    x = 662,497.23/798.40
  6. Step 6: Final answer
    x = 829.78

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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.