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Finding the Fourth Proportional to 1,342.30, 1,853 and 1,010.85

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Solution

The fourth proportional to 1,342.30, 1,853 and 1,010.85 is: 1,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.30 : 1,853 = 1,010.85 : x
  2. Step 2: Convert to fraction form
    1,342.30/1,853 = 1,010.85/x
  3. Step 3: Cross multiply
    1,342.30x = 1,853 × 1,010.85
  4. Step 4: Simplify right side
    1,342.30x = 1,873,105.05
  5. Step 5: Solve for x
    x = 1,873,105.05/1,342.30
  6. Step 6: Final answer
    x = 1,395.44

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