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Finding the Fourth Proportional to 569.46, 853.55 and 523.33

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Solution

The fourth proportional to 569.46, 853.55 and 523.33 is: 784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.46 : 853.55 = 523.33 : x
  2. Step 2: Convert to fraction form
    569.46/853.55 = 523.33/x
  3. Step 3: Cross multiply
    569.46x = 853.55 × 523.33
  4. Step 4: Simplify right side
    569.46x = 446,687.50
  5. Step 5: Solve for x
    x = 446,687.50/569.46
  6. Step 6: Final answer
    x = 784.41

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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.