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Finding the Fourth Proportional to 569.66, 853.05 and 352.58

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Solution

The fourth proportional to 569.66, 853.05 and 352.58 is: 527.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.66 : 853.05 = 352.58 : x
  2. Step 2: Convert to fraction form
    569.66/853.05 = 352.58/x
  3. Step 3: Cross multiply
    569.66x = 853.05 × 352.58
  4. Step 4: Simplify right side
    569.66x = 300,768.37
  5. Step 5: Solve for x
    x = 300,768.37/569.66
  6. Step 6: Final answer
    x = 527.98

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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.