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Finding the Fourth Proportional to 578.54, 871.86 and 520.83

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Solution

The fourth proportional to 578.54, 871.86 and 520.83 is: 784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.54 : 871.86 = 520.83 : x
  2. Step 2: Convert to fraction form
    578.54/871.86 = 520.83/x
  3. Step 3: Cross multiply
    578.54x = 871.86 × 520.83
  4. Step 4: Simplify right side
    578.54x = 454,090.84
  5. Step 5: Solve for x
    x = 454,090.84/578.54
  6. Step 6: Final answer
    x = 784.90

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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.