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Finding the Fourth Proportional to 575.12, 862.32 and 379.91

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Solution

The fourth proportional to 575.12, 862.32 and 379.91 is: 569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.12 : 862.32 = 379.91 : x
  2. Step 2: Convert to fraction form
    575.12/862.32 = 379.91/x
  3. Step 3: Cross multiply
    575.12x = 862.32 × 379.91
  4. Step 4: Simplify right side
    575.12x = 327,603.99
  5. Step 5: Solve for x
    x = 327,603.99/575.12
  6. Step 6: Final answer
    x = 569.63

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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.