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Finding the Fourth Proportional to 486.95, 729.08 and 378.95

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Solution

The fourth proportional to 486.95, 729.08 and 378.95 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.95 : 729.08 = 378.95 : x
  2. Step 2: Convert to fraction form
    486.95/729.08 = 378.95/x
  3. Step 3: Cross multiply
    486.95x = 729.08 × 378.95
  4. Step 4: Simplify right side
    486.95x = 276,286.22
  5. Step 5: Solve for x
    x = 276,286.22/486.95
  6. Step 6: Final answer
    x = 567.38

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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.