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Finding the Fourth Proportional to 1,088.20, 1,632.52 and 626.20

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Solution

The fourth proportional to 1,088.20, 1,632.52 and 626.20 is: 939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.20 : 1,632.52 = 626.20 : x
  2. Step 2: Convert to fraction form
    1,088.20/1,632.52 = 626.20/x
  3. Step 3: Cross multiply
    1,088.20x = 1,632.52 × 626.20
  4. Step 4: Simplify right side
    1,088.20x = 1,022,284.02
  5. Step 5: Solve for x
    x = 1,022,284.02/1,088.20
  6. Step 6: Final answer
    x = 939.43

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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.