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Finding the Fourth Proportional to 655.20, 903.96 and 406.38

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Solution

The fourth proportional to 655.20, 903.96 and 406.38 is: 560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.20 : 903.96 = 406.38 : x
  2. Step 2: Convert to fraction form
    655.20/903.96 = 406.38/x
  3. Step 3: Cross multiply
    655.20x = 903.96 × 406.38
  4. Step 4: Simplify right side
    655.20x = 367,351.26
  5. Step 5: Solve for x
    x = 367,351.26/655.20
  6. Step 6: Final answer
    x = 560.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.