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Finding the Fourth Proportional to 569.29, 853.93 and 439.48

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Solution

The fourth proportional to 569.29, 853.93 and 439.48 is: 659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.29 : 853.93 = 439.48 : x
  2. Step 2: Convert to fraction form
    569.29/853.93 = 439.48/x
  3. Step 3: Cross multiply
    569.29x = 853.93 × 439.48
  4. Step 4: Simplify right side
    569.29x = 375,284.69
  5. Step 5: Solve for x
    x = 375,284.69/569.29
  6. Step 6: Final answer
    x = 659.22

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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.