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Finding the Fourth Proportional to 990.50, 1,369.53 and 867.51

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Solution

The fourth proportional to 990.50, 1,369.53 and 867.51 is: 1,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.50 : 1,369.53 = 867.51 : x
  2. Step 2: Convert to fraction form
    990.50/1,369.53 = 867.51/x
  3. Step 3: Cross multiply
    990.50x = 1,369.53 × 867.51
  4. Step 4: Simplify right side
    990.50x = 1,188,080.97
  5. Step 5: Solve for x
    x = 1,188,080.97/990.50
  6. Step 6: Final answer
    x = 1,199.48

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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.