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Finding the Fourth Proportional to 1,442.70, 1,991.52 and 853.29

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Solution

The fourth proportional to 1,442.70, 1,991.52 and 853.29 is: 1,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.70 : 1,991.52 = 853.29 : x
  2. Step 2: Convert to fraction form
    1,442.70/1,991.52 = 853.29/x
  3. Step 3: Cross multiply
    1,442.70x = 1,991.52 × 853.29
  4. Step 4: Simplify right side
    1,442.70x = 1,699,344.10
  5. Step 5: Solve for x
    x = 1,699,344.10/1,442.70
  6. Step 6: Final answer
    x = 1,177.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.