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Finding the Fourth Proportional to 1,374.15, 2,059.30 and 758.15

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Solution

The fourth proportional to 1,374.15, 2,059.30 and 758.15 is: 1,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.15 : 2,059.30 = 758.15 : x
  2. Step 2: Convert to fraction form
    1,374.15/2,059.30 = 758.15/x
  3. Step 3: Cross multiply
    1,374.15x = 2,059.30 × 758.15
  4. Step 4: Simplify right side
    1,374.15x = 1,561,258.30
  5. Step 5: Solve for x
    x = 1,561,258.30/1,374.15
  6. Step 6: Final answer
    x = 1,136.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.