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Finding the Fourth Proportional to 575.56, 794.10 and 520.12

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Solution

The fourth proportional to 575.56, 794.10 and 520.12 is: 717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.56 : 794.10 = 520.12 : x
  2. Step 2: Convert to fraction form
    575.56/794.10 = 520.12/x
  3. Step 3: Cross multiply
    575.56x = 794.10 × 520.12
  4. Step 4: Simplify right side
    575.56x = 413,027.29
  5. Step 5: Solve for x
    x = 413,027.29/575.56
  6. Step 6: Final answer
    x = 717.61

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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.