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Finding the Fourth Proportional to 798.49, 1,101.49 and 601.66

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Solution

The fourth proportional to 798.49, 1,101.49 and 601.66 is: 829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.49 : 1,101.49 = 601.66 : x
  2. Step 2: Convert to fraction form
    798.49/1,101.49 = 601.66/x
  3. Step 3: Cross multiply
    798.49x = 1,101.49 × 601.66
  4. Step 4: Simplify right side
    798.49x = 662,722.47
  5. Step 5: Solve for x
    x = 662,722.47/798.49
  6. Step 6: Final answer
    x = 829.97

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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.