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Finding the Fourth Proportional to 655.57, 904.23 and 406.45

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Solution

The fourth proportional to 655.57, 904.23 and 406.45 is: 560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.57 : 904.23 = 406.45 : x
  2. Step 2: Convert to fraction form
    655.57/904.23 = 406.45/x
  3. Step 3: Cross multiply
    655.57x = 904.23 × 406.45
  4. Step 4: Simplify right side
    655.57x = 367,524.28
  5. Step 5: Solve for x
    x = 367,524.28/655.57
  6. Step 6: Final answer
    x = 560.62

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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.