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Finding the Fourth Proportional to 573.47, 860.21 and 299.61

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Solution

The fourth proportional to 573.47, 860.21 and 299.61 is: 449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.47 : 860.21 = 299.61 : x
  2. Step 2: Convert to fraction form
    573.47/860.21 = 299.61/x
  3. Step 3: Cross multiply
    573.47x = 860.21 × 299.61
  4. Step 4: Simplify right side
    573.47x = 257,726.02
  5. Step 5: Solve for x
    x = 257,726.02/573.47
  6. Step 6: Final answer
    x = 449.42

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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.