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Finding the Fourth Proportional to 573.99, 861.49 and 314.23

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Solution

The fourth proportional to 573.99, 861.49 and 314.23 is: 471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.99 : 861.49 = 314.23 : x
  2. Step 2: Convert to fraction form
    573.99/861.49 = 314.23/x
  3. Step 3: Cross multiply
    573.99x = 861.49 × 314.23
  4. Step 4: Simplify right side
    573.99x = 270,705.22
  5. Step 5: Solve for x
    x = 270,705.22/573.99
  6. Step 6: Final answer
    x = 471.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.