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Finding the Fourth Proportional to 574.86, 794.48 and 434.94

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Solution

The fourth proportional to 574.86, 794.48 and 434.94 is: 601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.86 : 794.48 = 434.94 : x
  2. Step 2: Convert to fraction form
    574.86/794.48 = 434.94/x
  3. Step 3: Cross multiply
    574.86x = 794.48 × 434.94
  4. Step 4: Simplify right side
    574.86x = 345,545.98
  5. Step 5: Solve for x
    x = 345,545.98/574.86
  6. Step 6: Final answer
    x = 601.09

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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.