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Finding the Fourth Proportional to 385.81, 578.85 and 377.62

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Solution

The fourth proportional to 385.81, 578.85 and 377.62 is: 566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.81 : 578.85 = 377.62 : x
  2. Step 2: Convert to fraction form
    385.81/578.85 = 377.62/x
  3. Step 3: Cross multiply
    385.81x = 578.85 × 377.62
  4. Step 4: Simplify right side
    385.81x = 218,585.34
  5. Step 5: Solve for x
    x = 218,585.34/385.81
  6. Step 6: Final answer
    x = 566.56

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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.