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Finding the Fourth Proportional to 389.83, 579.91 and 385.92

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Solution

The fourth proportional to 389.83, 579.91 and 385.92 is: 574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.83 : 579.91 = 385.92 : x
  2. Step 2: Convert to fraction form
    389.83/579.91 = 385.92/x
  3. Step 3: Cross multiply
    389.83x = 579.91 × 385.92
  4. Step 4: Simplify right side
    389.83x = 223,798.87
  5. Step 5: Solve for x
    x = 223,798.87/389.83
  6. Step 6: Final answer
    x = 574.09

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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.