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Finding the Fourth Proportional to 1,089.82, 1,632.10 and 626.19

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Solution

The fourth proportional to 1,089.82, 1,632.10 and 626.19 is: 937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.82 : 1,632.10 = 626.19 : x
  2. Step 2: Convert to fraction form
    1,089.82/1,632.10 = 626.19/x
  3. Step 3: Cross multiply
    1,089.82x = 1,632.10 × 626.19
  4. Step 4: Simplify right side
    1,089.82x = 1,021,993.41
  5. Step 5: Solve for x
    x = 1,021,993.41/1,089.82
  6. Step 6: Final answer
    x = 937.77

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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.