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Finding the Fourth Proportional to 578.53, 871.76 and 478.06

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Solution

The fourth proportional to 578.53, 871.76 and 478.06 is: 720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.53 : 871.76 = 478.06 : x
  2. Step 2: Convert to fraction form
    578.53/871.76 = 478.06/x
  3. Step 3: Cross multiply
    578.53x = 871.76 × 478.06
  4. Step 4: Simplify right side
    578.53x = 416,758.73
  5. Step 5: Solve for x
    x = 416,758.73/578.53
  6. Step 6: Final answer
    x = 720.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.