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Finding the Fourth Proportional to 569.24, 852.38 and 395.39

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Solution

The fourth proportional to 569.24, 852.38 and 395.39 is: 592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.24 : 852.38 = 395.39 : x
  2. Step 2: Convert to fraction form
    569.24/852.38 = 395.39/x
  3. Step 3: Cross multiply
    569.24x = 852.38 × 395.39
  4. Step 4: Simplify right side
    569.24x = 337,020.55
  5. Step 5: Solve for x
    x = 337,020.55/569.24
  6. Step 6: Final answer
    x = 592.05

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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.