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Finding the Fourth Proportional to 1,442.98, 1,991.28 and 853.40

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Solution

The fourth proportional to 1,442.98, 1,991.28 and 853.40 is: 1,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.98 : 1,991.28 = 853.40 : x
  2. Step 2: Convert to fraction form
    1,442.98/1,991.28 = 853.40/x
  3. Step 3: Cross multiply
    1,442.98x = 1,991.28 × 853.40
  4. Step 4: Simplify right side
    1,442.98x = 1,699,366.53
  5. Step 5: Solve for x
    x = 1,699,366.53/1,442.98
  6. Step 6: Final answer
    x = 1,177.68

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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.