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Finding the Fourth Proportional to 1,089.65, 1,632.68 and 627.82

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Solution

The fourth proportional to 1,089.65, 1,632.68 and 627.82 is: 940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.65 : 1,632.68 = 627.82 : x
  2. Step 2: Convert to fraction form
    1,089.65/1,632.68 = 627.82/x
  3. Step 3: Cross multiply
    1,089.65x = 1,632.68 × 627.82
  4. Step 4: Simplify right side
    1,089.65x = 1,025,029.71
  5. Step 5: Solve for x
    x = 1,025,029.71/1,089.65
  6. Step 6: Final answer
    x = 940.69

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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.