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Finding the Fourth Proportional to 933.10, 1,286.98 and 684.34

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Solution

The fourth proportional to 933.10, 1,286.98 and 684.34 is: 943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.10 : 1,286.98 = 684.34 : x
  2. Step 2: Convert to fraction form
    933.10/1,286.98 = 684.34/x
  3. Step 3: Cross multiply
    933.10x = 1,286.98 × 684.34
  4. Step 4: Simplify right side
    933.10x = 880,731.89
  5. Step 5: Solve for x
    x = 880,731.89/933.10
  6. Step 6: Final answer
    x = 943.88

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1.5x scale

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.