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Finding the Fourth Proportional to 1,088.80, 1,633.90 and 627.48

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Solution

The fourth proportional to 1,088.80, 1,633.90 and 627.48 is: 941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.80 : 1,633.90 = 627.48 : x
  2. Step 2: Convert to fraction form
    1,088.80/1,633.90 = 627.48/x
  3. Step 3: Cross multiply
    1,088.80x = 1,633.90 × 627.48
  4. Step 4: Simplify right side
    1,088.80x = 1,025,239.57
  5. Step 5: Solve for x
    x = 1,025,239.57/1,088.80
  6. Step 6: Final answer
    x = 941.62

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Why These Related Problems?

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