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Finding the Fourth Proportional to 563.61, 845.49 and 193.49

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Solution

The fourth proportional to 563.61, 845.49 and 193.49 is: 290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.61 : 845.49 = 193.49 : x
  2. Step 2: Convert to fraction form
    563.61/845.49 = 193.49/x
  3. Step 3: Cross multiply
    563.61x = 845.49 × 193.49
  4. Step 4: Simplify right side
    563.61x = 163,593.86
  5. Step 5: Solve for x
    x = 163,593.86/563.61
  6. Step 6: Final answer
    x = 290.26

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Double scale
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Similar ratio
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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.