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Finding the Fourth Proportional to 390.58, 582.02 and 379.44

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Solution

The fourth proportional to 390.58, 582.02 and 379.44 is: 565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.58 : 582.02 = 379.44 : x
  2. Step 2: Convert to fraction form
    390.58/582.02 = 379.44/x
  3. Step 3: Cross multiply
    390.58x = 582.02 × 379.44
  4. Step 4: Simplify right side
    390.58x = 220,841.67
  5. Step 5: Solve for x
    x = 220,841.67/390.58
  6. Step 6: Final answer
    x = 565.42

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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.