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Finding the Fourth Proportional to 569.43, 853.98 and 158.58

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Solution

The fourth proportional to 569.43, 853.98 and 158.58 is: 237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.43 : 853.98 = 158.58 : x
  2. Step 2: Convert to fraction form
    569.43/853.98 = 158.58/x
  3. Step 3: Cross multiply
    569.43x = 853.98 × 158.58
  4. Step 4: Simplify right side
    569.43x = 135,424.15
  5. Step 5: Solve for x
    x = 135,424.15/569.43
  6. Step 6: Final answer
    x = 237.82

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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.