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Finding the Fourth Proportional to 1,617.85, 2,427.59 and 693.15

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Solution

The fourth proportional to 1,617.85, 2,427.59 and 693.15 is: 1,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.85 : 2,427.59 = 693.15 : x
  2. Step 2: Convert to fraction form
    1,617.85/2,427.59 = 693.15/x
  3. Step 3: Cross multiply
    1,617.85x = 2,427.59 × 693.15
  4. Step 4: Simplify right side
    1,617.85x = 1,682,680.54
  5. Step 5: Solve for x
    x = 1,682,680.54/1,617.85
  6. Step 6: Final answer
    x = 1,040.07

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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.