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Finding the Fourth Proportional to 1,088.34, 1,629.27 and 654.18

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Solution

The fourth proportional to 1,088.34, 1,629.27 and 654.18 is: 979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.34 : 1,629.27 = 654.18 : x
  2. Step 2: Convert to fraction form
    1,088.34/1,629.27 = 654.18/x
  3. Step 3: Cross multiply
    1,088.34x = 1,629.27 × 654.18
  4. Step 4: Simplify right side
    1,088.34x = 1,065,835.85
  5. Step 5: Solve for x
    x = 1,065,835.85/1,088.34
  6. Step 6: Final answer
    x = 979.32

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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.