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Finding the Fourth Proportional to 573.26, 859.91 and 299.16

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Solution

The fourth proportional to 573.26, 859.91 and 299.16 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.26 : 859.91 = 299.16 : x
  2. Step 2: Convert to fraction form
    573.26/859.91 = 299.16/x
  3. Step 3: Cross multiply
    573.26x = 859.91 × 299.16
  4. Step 4: Simplify right side
    573.26x = 257,249.18
  5. Step 5: Solve for x
    x = 257,249.18/573.26
  6. Step 6: Final answer
    x = 448.75

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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.