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Finding the Fourth Proportional to 384.55, 572.57 and 382.73

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Solution

The fourth proportional to 384.55, 572.57 and 382.73 is: 569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.55 : 572.57 = 382.73 : x
  2. Step 2: Convert to fraction form
    384.55/572.57 = 382.73/x
  3. Step 3: Cross multiply
    384.55x = 572.57 × 382.73
  4. Step 4: Simplify right side
    384.55x = 219,136.37
  5. Step 5: Solve for x
    x = 219,136.37/384.55
  6. Step 6: Final answer
    x = 569.86

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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.