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Finding the Fourth Proportional to 573.62, 860.55 and 299.84

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Solution

The fourth proportional to 573.62, 860.55 and 299.84 is: 449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.62 : 860.55 = 299.84 : x
  2. Step 2: Convert to fraction form
    573.62/860.55 = 299.84/x
  3. Step 3: Cross multiply
    573.62x = 860.55 × 299.84
  4. Step 4: Simplify right side
    573.62x = 258,027.31
  5. Step 5: Solve for x
    x = 258,027.31/573.62
  6. Step 6: Final answer
    x = 449.82

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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.