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Finding the Fourth Proportional to 655.81, 984.06 and 290.86

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Solution

The fourth proportional to 655.81, 984.06 and 290.86 is: 436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.81 : 984.06 = 290.86 : x
  2. Step 2: Convert to fraction form
    655.81/984.06 = 290.86/x
  3. Step 3: Cross multiply
    655.81x = 984.06 × 290.86
  4. Step 4: Simplify right side
    655.81x = 286,221.23
  5. Step 5: Solve for x
    x = 286,221.23/655.81
  6. Step 6: Final answer
    x = 436.44

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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.