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Finding the Fourth Proportional to 390.82, 582.83 and 385.59

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Solution

The fourth proportional to 390.82, 582.83 and 385.59 is: 575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.82 : 582.83 = 385.59 : x
  2. Step 2: Convert to fraction form
    390.82/582.83 = 385.59/x
  3. Step 3: Cross multiply
    390.82x = 582.83 × 385.59
  4. Step 4: Simplify right side
    390.82x = 224,733.42
  5. Step 5: Solve for x
    x = 224,733.42/390.82
  6. Step 6: Final answer
    x = 575.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.