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Finding the Fourth Proportional to 1,340.52, 1,853.34 and 1,010.64

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Solution

The fourth proportional to 1,340.52, 1,853.34 and 1,010.64 is: 1,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.52 : 1,853.34 = 1,010.64 : x
  2. Step 2: Convert to fraction form
    1,340.52/1,853.34 = 1,010.64/x
  3. Step 3: Cross multiply
    1,340.52x = 1,853.34 × 1,010.64
  4. Step 4: Simplify right side
    1,340.52x = 1,873,059.54
  5. Step 5: Solve for x
    x = 1,873,059.54/1,340.52
  6. Step 6: Final answer
    x = 1,397.26

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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.