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Finding the Fourth Proportional to 574.34, 859.89 and 381.58

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Solution

The fourth proportional to 574.34, 859.89 and 381.58 is: 571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.34 : 859.89 = 381.58 : x
  2. Step 2: Convert to fraction form
    574.34/859.89 = 381.58/x
  3. Step 3: Cross multiply
    574.34x = 859.89 × 381.58
  4. Step 4: Simplify right side
    574.34x = 328,116.83
  5. Step 5: Solve for x
    x = 328,116.83/574.34
  6. Step 6: Final answer
    x = 571.29

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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.