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Finding the Fourth Proportional to 1,001.84, 1,372.18 and 942.80

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Solution

The fourth proportional to 1,001.84, 1,372.18 and 942.80 is: 1,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.84 : 1,372.18 = 942.80 : x
  2. Step 2: Convert to fraction form
    1,001.84/1,372.18 = 942.80/x
  3. Step 3: Cross multiply
    1,001.84x = 1,372.18 × 942.80
  4. Step 4: Simplify right side
    1,001.84x = 1,293,691.30
  5. Step 5: Solve for x
    x = 1,293,691.30/1,001.84
  6. Step 6: Final answer
    x = 1,291.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.