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Finding the Fourth Proportional to 799.15, 1,101.69 and 562.36

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Solution

The fourth proportional to 799.15, 1,101.69 and 562.36 is: 775.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.15 : 1,101.69 = 562.36 : x
  2. Step 2: Convert to fraction form
    799.15/1,101.69 = 562.36/x
  3. Step 3: Cross multiply
    799.15x = 1,101.69 × 562.36
  4. Step 4: Simplify right side
    799.15x = 619,546.39
  5. Step 5: Solve for x
    x = 619,546.39/799.15
  6. Step 6: Final answer
    x = 775.26

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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.