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Finding the Fourth Proportional to 573.67, 863.95 and 521.83

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Solution

The fourth proportional to 573.67, 863.95 and 521.83 is: 785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.67 : 863.95 = 521.83 : x
  2. Step 2: Convert to fraction form
    573.67/863.95 = 521.83/x
  3. Step 3: Cross multiply
    573.67x = 863.95 × 521.83
  4. Step 4: Simplify right side
    573.67x = 450,835.03
  5. Step 5: Solve for x
    x = 450,835.03/573.67
  6. Step 6: Final answer
    x = 785.88

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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.