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Finding the Fourth Proportional to 517.12, 775.44 and 175.12

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Solution

The fourth proportional to 517.12, 775.44 and 175.12 is: 262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.12 : 775.44 = 175.12 : x
  2. Step 2: Convert to fraction form
    517.12/775.44 = 175.12/x
  3. Step 3: Cross multiply
    517.12x = 775.44 × 175.12
  4. Step 4: Simplify right side
    517.12x = 135,795.05
  5. Step 5: Solve for x
    x = 135,795.05/517.12
  6. Step 6: Final answer
    x = 262.60

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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.