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Finding the Fourth Proportional to 569.28, 853.14 and 504.12

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Solution

The fourth proportional to 569.28, 853.14 and 504.12 is: 755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.28 : 853.14 = 504.12 : x
  2. Step 2: Convert to fraction form
    569.28/853.14 = 504.12/x
  3. Step 3: Cross multiply
    569.28x = 853.14 × 504.12
  4. Step 4: Simplify right side
    569.28x = 430,084.94
  5. Step 5: Solve for x
    x = 430,084.94/569.28
  6. Step 6: Final answer
    x = 755.49

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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.