Home / 1,563.40-2,345.10-409.15

Finding the Fourth Proportional to 1,563.40, 2,345.10 and 409.15

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Solution

The fourth proportional to 1,563.40, 2,345.10 and 409.15 is: 613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.40 : 2,345.10 = 409.15 : x
  2. Step 2: Convert to fraction form
    1,563.40/2,345.10 = 409.15/x
  3. Step 3: Cross multiply
    1,563.40x = 2,345.10 × 409.15
  4. Step 4: Simplify right side
    1,563.40x = 959,497.67
  5. Step 5: Solve for x
    x = 959,497.67/1,563.40
  6. Step 6: Final answer
    x = 613.73

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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.