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Finding the Fourth Proportional to 612.71, 917.47 and 381.25

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Solution

The fourth proportional to 612.71, 917.47 and 381.25 is: 570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.71 : 917.47 = 381.25 : x
  2. Step 2: Convert to fraction form
    612.71/917.47 = 381.25/x
  3. Step 3: Cross multiply
    612.71x = 917.47 × 381.25
  4. Step 4: Simplify right side
    612.71x = 349,785.44
  5. Step 5: Solve for x
    x = 349,785.44/612.71
  6. Step 6: Final answer
    x = 570.88

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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.