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Finding the Fourth Proportional to 655.20, 984.60 and 473.58

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Solution

The fourth proportional to 655.20, 984.60 and 473.58 is: 711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.20 : 984.60 = 473.58 : x
  2. Step 2: Convert to fraction form
    655.20/984.60 = 473.58/x
  3. Step 3: Cross multiply
    655.20x = 984.60 × 473.58
  4. Step 4: Simplify right side
    655.20x = 466,286.87
  5. Step 5: Solve for x
    x = 466,286.87/655.20
  6. Step 6: Final answer
    x = 711.67

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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.