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Finding the Fourth Proportional to 575.96, 794.88 and 354.91

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Solution

The fourth proportional to 575.96, 794.88 and 354.91 is: 489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.96 : 794.88 = 354.91 : x
  2. Step 2: Convert to fraction form
    575.96/794.88 = 354.91/x
  3. Step 3: Cross multiply
    575.96x = 794.88 × 354.91
  4. Step 4: Simplify right side
    575.96x = 282,110.86
  5. Step 5: Solve for x
    x = 282,110.86/575.96
  6. Step 6: Final answer
    x = 489.81

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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.