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Finding the Fourth Proportional to 655.45, 904.26 and 406.60

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Solution

The fourth proportional to 655.45, 904.26 and 406.60 is: 560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.45 : 904.26 = 406.60 : x
  2. Step 2: Convert to fraction form
    655.45/904.26 = 406.60/x
  3. Step 3: Cross multiply
    655.45x = 904.26 × 406.60
  4. Step 4: Simplify right side
    655.45x = 367,672.12
  5. Step 5: Solve for x
    x = 367,672.12/655.45
  6. Step 6: Final answer
    x = 560.95

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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.