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Finding the Fourth Proportional to 574.77, 863.88 and 370.65

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Solution

The fourth proportional to 574.77, 863.88 and 370.65 is: 557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.77 : 863.88 = 370.65 : x
  2. Step 2: Convert to fraction form
    574.77/863.88 = 370.65/x
  3. Step 3: Cross multiply
    574.77x = 863.88 × 370.65
  4. Step 4: Simplify right side
    574.77x = 320,197.12
  5. Step 5: Solve for x
    x = 320,197.12/574.77
  6. Step 6: Final answer
    x = 557.09

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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.