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Finding the Fourth Proportional to 517.30, 773.55 and 378.90

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Solution

The fourth proportional to 517.30, 773.55 and 378.90 is: 566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.30 : 773.55 = 378.90 : x
  2. Step 2: Convert to fraction form
    517.30/773.55 = 378.90/x
  3. Step 3: Cross multiply
    517.30x = 773.55 × 378.90
  4. Step 4: Simplify right side
    517.30x = 293,098.10
  5. Step 5: Solve for x
    x = 293,098.10/517.30
  6. Step 6: Final answer
    x = 566.59

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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.