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Finding the Fourth Proportional to 517.13, 775.12 and 285.90

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Solution

The fourth proportional to 517.13, 775.12 and 285.90 is: 428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.13 : 775.12 = 285.90 : x
  2. Step 2: Convert to fraction form
    517.13/775.12 = 285.90/x
  3. Step 3: Cross multiply
    517.13x = 775.12 × 285.90
  4. Step 4: Simplify right side
    517.13x = 221,606.81
  5. Step 5: Solve for x
    x = 221,606.81/517.13
  6. Step 6: Final answer
    x = 428.53

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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.