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Finding the Fourth Proportional to 1,129.91, 1,555.81 and 989.24

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Solution

The fourth proportional to 1,129.91, 1,555.81 and 989.24 is: 1,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.91 : 1,555.81 = 989.24 : x
  2. Step 2: Convert to fraction form
    1,129.91/1,555.81 = 989.24/x
  3. Step 3: Cross multiply
    1,129.91x = 1,555.81 × 989.24
  4. Step 4: Simplify right side
    1,129.91x = 1,539,059.23
  5. Step 5: Solve for x
    x = 1,539,059.23/1,129.91
  6. Step 6: Final answer
    x = 1,362.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.