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Finding the Fourth Proportional to 573.69, 859.74 and 299.21

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Solution

The fourth proportional to 573.69, 859.74 and 299.21 is: 448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.69 : 859.74 = 299.21 : x
  2. Step 2: Convert to fraction form
    573.69/859.74 = 299.21/x
  3. Step 3: Cross multiply
    573.69x = 859.74 × 299.21
  4. Step 4: Simplify right side
    573.69x = 257,238.51
  5. Step 5: Solve for x
    x = 257,238.51/573.69
  6. Step 6: Final answer
    x = 448.39

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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.