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Finding the Fourth Proportional to 569.48, 853.71 and 523.91

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Solution

The fourth proportional to 569.48, 853.71 and 523.91 is: 785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.48 : 853.71 = 523.91 : x
  2. Step 2: Convert to fraction form
    569.48/853.71 = 523.91/x
  3. Step 3: Cross multiply
    569.48x = 853.71 × 523.91
  4. Step 4: Simplify right side
    569.48x = 447,262.94
  5. Step 5: Solve for x
    x = 447,262.94/569.48
  6. Step 6: Final answer
    x = 785.40

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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.