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Finding the Fourth Proportional to 575.61, 794.79 and 354.66

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Solution

The fourth proportional to 575.61, 794.79 and 354.66 is: 489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.61 : 794.79 = 354.66 : x
  2. Step 2: Convert to fraction form
    575.61/794.79 = 354.66/x
  3. Step 3: Cross multiply
    575.61x = 794.79 × 354.66
  4. Step 4: Simplify right side
    575.61x = 281,880.22
  5. Step 5: Solve for x
    x = 281,880.22/575.61
  6. Step 6: Final answer
    x = 489.71

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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.