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Finding the Fourth Proportional to 1,089.06, 1,632.36 and 627.06

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Solution

The fourth proportional to 1,089.06, 1,632.36 and 627.06 is: 939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.06 : 1,632.36 = 627.06 : x
  2. Step 2: Convert to fraction form
    1,089.06/1,632.36 = 627.06/x
  3. Step 3: Cross multiply
    1,089.06x = 1,632.36 × 627.06
  4. Step 4: Simplify right side
    1,089.06x = 1,023,587.66
  5. Step 5: Solve for x
    x = 1,023,587.66/1,089.06
  6. Step 6: Final answer
    x = 939.88

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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.