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Finding the Fourth Proportional to 655.27, 904.26 and 406.57

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Solution

The fourth proportional to 655.27, 904.26 and 406.57 is: 561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.27 : 904.26 = 406.57 : x
  2. Step 2: Convert to fraction form
    655.27/904.26 = 406.57/x
  3. Step 3: Cross multiply
    655.27x = 904.26 × 406.57
  4. Step 4: Simplify right side
    655.27x = 367,644.99
  5. Step 5: Solve for x
    x = 367,644.99/655.27
  6. Step 6: Final answer
    x = 561.06

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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.