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Finding the Fourth Proportional to 1,102.58, 1,651.73 and 614.15

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Solution

The fourth proportional to 1,102.58, 1,651.73 and 614.15 is: 920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.58 : 1,651.73 = 614.15 : x
  2. Step 2: Convert to fraction form
    1,102.58/1,651.73 = 614.15/x
  3. Step 3: Cross multiply
    1,102.58x = 1,651.73 × 614.15
  4. Step 4: Simplify right side
    1,102.58x = 1,014,409.98
  5. Step 5: Solve for x
    x = 1,014,409.98/1,102.58
  6. Step 6: Final answer
    x = 920.03

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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.