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Finding the Fourth Proportional to 578.30, 867.45 and 384.56

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Solution

The fourth proportional to 578.30, 867.45 and 384.56 is: 576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.30 : 867.45 = 384.56 : x
  2. Step 2: Convert to fraction form
    578.30/867.45 = 384.56/x
  3. Step 3: Cross multiply
    578.30x = 867.45 × 384.56
  4. Step 4: Simplify right side
    578.30x = 333,586.57
  5. Step 5: Solve for x
    x = 333,586.57/578.30
  6. Step 6: Final answer
    x = 576.84

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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.