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Finding the Fourth Proportional to 655.11, 904.03 and 406.44

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Solution

The fourth proportional to 655.11, 904.03 and 406.44 is: 560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.11 : 904.03 = 406.44 : x
  2. Step 2: Convert to fraction form
    655.11/904.03 = 406.44/x
  3. Step 3: Cross multiply
    655.11x = 904.03 × 406.44
  4. Step 4: Simplify right side
    655.11x = 367,432.94
  5. Step 5: Solve for x
    x = 367,432.94/655.11
  6. Step 6: Final answer
    x = 560.87

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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.