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Finding the Fourth Proportional to 617.44, 852.14 and 381.32

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Solution

The fourth proportional to 617.44, 852.14 and 381.32 is: 526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.44 : 852.14 = 381.32 : x
  2. Step 2: Convert to fraction form
    617.44/852.14 = 381.32/x
  3. Step 3: Cross multiply
    617.44x = 852.14 × 381.32
  4. Step 4: Simplify right side
    617.44x = 324,938.02
  5. Step 5: Solve for x
    x = 324,938.02/617.44
  6. Step 6: Final answer
    x = 526.27

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.