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Finding the Fourth Proportional to 573, 790.80 and 376.56

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Solution

The fourth proportional to 573, 790.80 and 376.56 is: 519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    573 : 790.80 = 376.56 : x
  2. Step 2: Convert to fraction form
    573/790.80 = 376.56/x
  3. Step 3: Cross multiply
    573x = 790.80 × 376.56
  4. Step 4: Simplify right side
    573x = 297,783.65
  5. Step 5: Solve for x
    x = 297,783.65/573
  6. Step 6: Final answer
    x = 519.69

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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.