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Finding the Fourth Proportional to 655.92, 984.12 and 290.76

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Solution

The fourth proportional to 655.92, 984.12 and 290.76 is: 436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.92 : 984.12 = 290.76 : x
  2. Step 2: Convert to fraction form
    655.92/984.12 = 290.76/x
  3. Step 3: Cross multiply
    655.92x = 984.12 × 290.76
  4. Step 4: Simplify right side
    655.92x = 286,142.73
  5. Step 5: Solve for x
    x = 286,142.73/655.92
  6. Step 6: Final answer
    x = 436.25

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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.