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Finding the Fourth Proportional to 1,089.45, 1,631.85 and 991.41

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Solution

The fourth proportional to 1,089.45, 1,631.85 and 991.41 is: 1,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.45 : 1,631.85 = 991.41 : x
  2. Step 2: Convert to fraction form
    1,089.45/1,631.85 = 991.41/x
  3. Step 3: Cross multiply
    1,089.45x = 1,631.85 × 991.41
  4. Step 4: Simplify right side
    1,089.45x = 1,617,832.41
  5. Step 5: Solve for x
    x = 1,617,832.41/1,089.45
  6. Step 6: Final answer
    x = 1,485.00

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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.