Home / 1,563.43-2,345.13-409.18

Finding the Fourth Proportional to 1,563.43, 2,345.13 and 409.18

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Solution

The fourth proportional to 1,563.43, 2,345.13 and 409.18 is: 613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.43 : 2,345.13 = 409.18 : x
  2. Step 2: Convert to fraction form
    1,563.43/2,345.13 = 409.18/x
  3. Step 3: Cross multiply
    1,563.43x = 2,345.13 × 409.18
  4. Step 4: Simplify right side
    1,563.43x = 959,580.29
  5. Step 5: Solve for x
    x = 959,580.29/1,563.43
  6. Step 6: Final answer
    x = 613.77

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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.