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Finding the Fourth Proportional to 1,342.73, 2,010.66 and 795.31

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Solution

The fourth proportional to 1,342.73, 2,010.66 and 795.31 is: 1,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.73 : 2,010.66 = 795.31 : x
  2. Step 2: Convert to fraction form
    1,342.73/2,010.66 = 795.31/x
  3. Step 3: Cross multiply
    1,342.73x = 2,010.66 × 795.31
  4. Step 4: Simplify right side
    1,342.73x = 1,599,098.00
  5. Step 5: Solve for x
    x = 1,599,098.00/1,342.73
  6. Step 6: Final answer
    x = 1,190.93

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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.