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Finding the Fourth Proportional to 617.56, 926.40 and 227.56

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Solution

The fourth proportional to 617.56, 926.40 and 227.56 is: 341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.56 : 926.40 = 227.56 : x
  2. Step 2: Convert to fraction form
    617.56/926.40 = 227.56/x
  3. Step 3: Cross multiply
    617.56x = 926.40 × 227.56
  4. Step 4: Simplify right side
    617.56x = 210,811.58
  5. Step 5: Solve for x
    x = 210,811.58/617.56
  6. Step 6: Final answer
    x = 341.36

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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.