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Finding the Fourth Proportional to 535.95, 799.41 and 488.79

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Solution

The fourth proportional to 535.95, 799.41 and 488.79 is: 729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.95 : 799.41 = 488.79 : x
  2. Step 2: Convert to fraction form
    535.95/799.41 = 488.79/x
  3. Step 3: Cross multiply
    535.95x = 799.41 × 488.79
  4. Step 4: Simplify right side
    535.95x = 390,741.17
  5. Step 5: Solve for x
    x = 390,741.17/535.95
  6. Step 6: Final answer
    x = 729.06

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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.