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Finding the Fourth Proportional to 1,161.34, 1,731.93 and 989.11

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Solution

The fourth proportional to 1,161.34, 1,731.93 and 989.11 is: 1,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.34 : 1,731.93 = 989.11 : x
  2. Step 2: Convert to fraction form
    1,161.34/1,731.93 = 989.11/x
  3. Step 3: Cross multiply
    1,161.34x = 1,731.93 × 989.11
  4. Step 4: Simplify right side
    1,161.34x = 1,713,073.30
  5. Step 5: Solve for x
    x = 1,713,073.30/1,161.34
  6. Step 6: Final answer
    x = 1,475.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.