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Finding the Fourth Proportional to 972.19, 1,450.81 and 868.39

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Solution

The fourth proportional to 972.19, 1,450.81 and 868.39 is: 1,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.19 : 1,450.81 = 868.39 : x
  2. Step 2: Convert to fraction form
    972.19/1,450.81 = 868.39/x
  3. Step 3: Cross multiply
    972.19x = 1,450.81 × 868.39
  4. Step 4: Simplify right side
    972.19x = 1,259,868.90
  5. Step 5: Solve for x
    x = 1,259,868.90/972.19
  6. Step 6: Final answer
    x = 1,295.91

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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.