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Finding the Fourth Proportional to 617.26, 926.14 and 252.38

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Solution

The fourth proportional to 617.26, 926.14 and 252.38 is: 378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.26 : 926.14 = 252.38 : x
  2. Step 2: Convert to fraction form
    617.26/926.14 = 252.38/x
  3. Step 3: Cross multiply
    617.26x = 926.14 × 252.38
  4. Step 4: Simplify right side
    617.26x = 233,739.21
  5. Step 5: Solve for x
    x = 233,739.21/617.26
  6. Step 6: Final answer
    x = 378.67

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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.