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Finding the Fourth Proportional to 563.57, 845.66 and 255.40

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Solution

The fourth proportional to 563.57, 845.66 and 255.40 is: 383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.57 : 845.66 = 255.40 : x
  2. Step 2: Convert to fraction form
    563.57/845.66 = 255.40/x
  3. Step 3: Cross multiply
    563.57x = 845.66 × 255.40
  4. Step 4: Simplify right side
    563.57x = 215,981.56
  5. Step 5: Solve for x
    x = 215,981.56/563.57
  6. Step 6: Final answer
    x = 383.24

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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.