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Finding the Fourth Proportional to 1,342.47, 1,853.33 and 1,202.25

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Solution

The fourth proportional to 1,342.47, 1,853.33 and 1,202.25 is: 1,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.47 : 1,853.33 = 1,202.25 : x
  2. Step 2: Convert to fraction form
    1,342.47/1,853.33 = 1,202.25/x
  3. Step 3: Cross multiply
    1,342.47x = 1,853.33 × 1,202.25
  4. Step 4: Simplify right side
    1,342.47x = 2,228,159.98
  5. Step 5: Solve for x
    x = 2,228,159.98/1,342.47
  6. Step 6: Final answer
    x = 1,659.75

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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.