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Finding the Fourth Proportional to 553.64, 762 and 406.04

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Solution

The fourth proportional to 553.64, 762 and 406.04 is: 558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.64 : 762 = 406.04 : x
  2. Step 2: Convert to fraction form
    553.64/762 = 406.04/x
  3. Step 3: Cross multiply
    553.64x = 762 × 406.04
  4. Step 4: Simplify right side
    553.64x = 309,402.48
  5. Step 5: Solve for x
    x = 309,402.48/553.64
  6. Step 6: Final answer
    x = 558.85

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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.