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Finding the Fourth Proportional to 989.34, 1,364.43 and 741.21

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Solution

The fourth proportional to 989.34, 1,364.43 and 741.21 is: 1,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.34 : 1,364.43 = 741.21 : x
  2. Step 2: Convert to fraction form
    989.34/1,364.43 = 741.21/x
  3. Step 3: Cross multiply
    989.34x = 1,364.43 × 741.21
  4. Step 4: Simplify right side
    989.34x = 1,011,329.16
  5. Step 5: Solve for x
    x = 1,011,329.16/989.34
  6. Step 6: Final answer
    x = 1,022.23

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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.