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Finding the Fourth Proportional to 797.13, 1,099.80 and 465.33

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Solution

The fourth proportional to 797.13, 1,099.80 and 465.33 is: 642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.13 : 1,099.80 = 465.33 : x
  2. Step 2: Convert to fraction form
    797.13/1,099.80 = 465.33/x
  3. Step 3: Cross multiply
    797.13x = 1,099.80 × 465.33
  4. Step 4: Simplify right side
    797.13x = 511,769.93
  5. Step 5: Solve for x
    x = 511,769.93/797.13
  6. Step 6: Final answer
    x = 642.02

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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.