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Finding the Fourth Proportional to 576.27, 794.85 and 354.93

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Solution

The fourth proportional to 576.27, 794.85 and 354.93 is: 489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.27 : 794.85 = 354.93 : x
  2. Step 2: Convert to fraction form
    576.27/794.85 = 354.93/x
  3. Step 3: Cross multiply
    576.27x = 794.85 × 354.93
  4. Step 4: Simplify right side
    576.27x = 282,116.11
  5. Step 5: Solve for x
    x = 282,116.11/576.27
  6. Step 6: Final answer
    x = 489.56

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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.