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Finding the Fourth Proportional to 799.97, 1,200.29 and 435.02

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Solution

The fourth proportional to 799.97, 1,200.29 and 435.02 is: 652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.97 : 1,200.29 = 435.02 : x
  2. Step 2: Convert to fraction form
    799.97/1,200.29 = 435.02/x
  3. Step 3: Cross multiply
    799.97x = 1,200.29 × 435.02
  4. Step 4: Simplify right side
    799.97x = 522,150.16
  5. Step 5: Solve for x
    x = 522,150.16/799.97
  6. Step 6: Final answer
    x = 652.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.