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Finding the Fourth Proportional to 2,203.69, 3,305.43 and 560.23

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Solution

The fourth proportional to 2,203.69, 3,305.43 and 560.23 is: 840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.69 : 3,305.43 = 560.23 : x
  2. Step 2: Convert to fraction form
    2,203.69/3,305.43 = 560.23/x
  3. Step 3: Cross multiply
    2,203.69x = 3,305.43 × 560.23
  4. Step 4: Simplify right side
    2,203.69x = 1,851,801.05
  5. Step 5: Solve for x
    x = 1,851,801.05/2,203.69
  6. Step 6: Final answer
    x = 840.32

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1.5x scale

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.