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Finding the Fourth Proportional to 535.75, 799.36 and 484.02

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Solution

The fourth proportional to 535.75, 799.36 and 484.02 is: 722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.75 : 799.36 = 484.02 : x
  2. Step 2: Convert to fraction form
    535.75/799.36 = 484.02/x
  3. Step 3: Cross multiply
    535.75x = 799.36 × 484.02
  4. Step 4: Simplify right side
    535.75x = 386,905.02
  5. Step 5: Solve for x
    x = 386,905.02/535.75
  6. Step 6: Final answer
    x = 722.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.