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Finding the Fourth Proportional to 563.40, 845.10 and 255.17

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Solution

The fourth proportional to 563.40, 845.10 and 255.17 is: 382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.40 : 845.10 = 255.17 : x
  2. Step 2: Convert to fraction form
    563.40/845.10 = 255.17/x
  3. Step 3: Cross multiply
    563.40x = 845.10 × 255.17
  4. Step 4: Simplify right side
    563.40x = 215,639.94
  5. Step 5: Solve for x
    x = 215,639.94/563.40
  6. Step 6: Final answer
    x = 382.75

Related Problems

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Half scale
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Double scale
Find fourth proportional to 564.40, 846.60 and 256.17
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.