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Finding the Fourth Proportional to 1,563.90, 2,345.85 and 409.65

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Solution

The fourth proportional to 1,563.90, 2,345.85 and 409.65 is: 614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.90 : 2,345.85 = 409.65 : x
  2. Step 2: Convert to fraction form
    1,563.90/2,345.85 = 409.65/x
  3. Step 3: Cross multiply
    1,563.90x = 2,345.85 × 409.65
  4. Step 4: Simplify right side
    1,563.90x = 960,977.45
  5. Step 5: Solve for x
    x = 960,977.45/1,563.90
  6. Step 6: Final answer
    x = 614.48

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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.