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Finding the Fourth Proportional to 1,161.77, 1,743.06 and 989.74

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Solution

The fourth proportional to 1,161.77, 1,743.06 and 989.74 is: 1,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.77 : 1,743.06 = 989.74 : x
  2. Step 2: Convert to fraction form
    1,161.77/1,743.06 = 989.74/x
  3. Step 3: Cross multiply
    1,161.77x = 1,743.06 × 989.74
  4. Step 4: Simplify right side
    1,161.77x = 1,725,176.20
  5. Step 5: Solve for x
    x = 1,725,176.20/1,161.77
  6. Step 6: Final answer
    x = 1,484.96

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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.