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Finding the Fourth Proportional to 1,242.33, 1,703.30 and 1,220.14

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Solution

The fourth proportional to 1,242.33, 1,703.30 and 1,220.14 is: 1,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.33 : 1,703.30 = 1,220.14 : x
  2. Step 2: Convert to fraction form
    1,242.33/1,703.30 = 1,220.14/x
  3. Step 3: Cross multiply
    1,242.33x = 1,703.30 × 1,220.14
  4. Step 4: Simplify right side
    1,242.33x = 2,078,252.88
  5. Step 5: Solve for x
    x = 2,078,252.88/1,242.33
  6. Step 6: Final answer
    x = 1,672.86

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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.