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Finding the Fourth Proportional to 573.50, 858.40 and 299.20

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Solution

The fourth proportional to 573.50, 858.40 and 299.20 is: 447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.50 : 858.40 = 299.20 : x
  2. Step 2: Convert to fraction form
    573.50/858.40 = 299.20/x
  3. Step 3: Cross multiply
    573.50x = 858.40 × 299.20
  4. Step 4: Simplify right side
    573.50x = 256,833.28
  5. Step 5: Solve for x
    x = 256,833.28/573.50
  6. Step 6: Final answer
    x = 447.83

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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.