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Finding the Fourth Proportional to 575.30, 792.99 and 353.77

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Solution

The fourth proportional to 575.30, 792.99 and 353.77 is: 487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.30 : 792.99 = 353.77 : x
  2. Step 2: Convert to fraction form
    575.30/792.99 = 353.77/x
  3. Step 3: Cross multiply
    575.30x = 792.99 × 353.77
  4. Step 4: Simplify right side
    575.30x = 280,534.09
  5. Step 5: Solve for x
    x = 280,534.09/575.30
  6. Step 6: Final answer
    x = 487.63

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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.