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Finding the Fourth Proportional to 933.21, 1,288.80 and 712.71

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Solution

The fourth proportional to 933.21, 1,288.80 and 712.71 is: 984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.21 : 1,288.80 = 712.71 : x
  2. Step 2: Convert to fraction form
    933.21/1,288.80 = 712.71/x
  3. Step 3: Cross multiply
    933.21x = 1,288.80 × 712.71
  4. Step 4: Simplify right side
    933.21x = 918,540.65
  5. Step 5: Solve for x
    x = 918,540.65/933.21
  6. Step 6: Final answer
    x = 984.28

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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.