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Finding the Fourth Proportional to 578.83, 797.96 and 357.65

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Solution

The fourth proportional to 578.83, 797.96 and 357.65 is: 493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.83 : 797.96 = 357.65 : x
  2. Step 2: Convert to fraction form
    578.83/797.96 = 357.65/x
  3. Step 3: Cross multiply
    578.83x = 797.96 × 357.65
  4. Step 4: Simplify right side
    578.83x = 285,388.61
  5. Step 5: Solve for x
    x = 285,388.61/578.83
  6. Step 6: Final answer
    x = 493.05

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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.