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Finding the Fourth Proportional to 582.22, 874.41 and 389.98

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Solution

The fourth proportional to 582.22, 874.41 and 389.98 is: 585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.22 : 874.41 = 389.98 : x
  2. Step 2: Convert to fraction form
    582.22/874.41 = 389.98/x
  3. Step 3: Cross multiply
    582.22x = 874.41 × 389.98
  4. Step 4: Simplify right side
    582.22x = 341,002.41
  5. Step 5: Solve for x
    x = 341,002.41/582.22
  6. Step 6: Final answer
    x = 585.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.