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Finding the Fourth Proportional to 1,604.21, 2,405.70 and 563.90

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Solution

The fourth proportional to 1,604.21, 2,405.70 and 563.90 is: 845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.21 : 2,405.70 = 563.90 : x
  2. Step 2: Convert to fraction form
    1,604.21/2,405.70 = 563.90/x
  3. Step 3: Cross multiply
    1,604.21x = 2,405.70 × 563.90
  4. Step 4: Simplify right side
    1,604.21x = 1,356,562.20
  5. Step 5: Solve for x
    x = 1,356,562.20/1,604.21
  6. Step 6: Final answer
    x = 845.63

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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.