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Finding the Fourth Proportional to 573.87, 792.41 and 442.65

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Solution

The fourth proportional to 573.87, 792.41 and 442.65 is: 611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.87 : 792.41 = 442.65 : x
  2. Step 2: Convert to fraction form
    573.87/792.41 = 442.65/x
  3. Step 3: Cross multiply
    573.87x = 792.41 × 442.65
  4. Step 4: Simplify right side
    573.87x = 350,760.29
  5. Step 5: Solve for x
    x = 350,760.29/573.87
  6. Step 6: Final answer
    x = 611.22

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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.