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Finding the Fourth Proportional to 1,604.11, 2,406.17 and 563.87

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Solution

The fourth proportional to 1,604.11, 2,406.17 and 563.87 is: 845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.11 : 2,406.17 = 563.87 : x
  2. Step 2: Convert to fraction form
    1,604.11/2,406.17 = 563.87/x
  3. Step 3: Cross multiply
    1,604.11x = 2,406.17 × 563.87
  4. Step 4: Simplify right side
    1,604.11x = 1,356,771.76
  5. Step 5: Solve for x
    x = 1,356,771.76/1,604.11
  6. Step 6: Final answer
    x = 845.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.