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Finding the Fourth Proportional to 721.84, 994.80 and 684.08

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Solution

The fourth proportional to 721.84, 994.80 and 684.08 is: 942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.84 : 994.80 = 684.08 : x
  2. Step 2: Convert to fraction form
    721.84/994.80 = 684.08/x
  3. Step 3: Cross multiply
    721.84x = 994.80 × 684.08
  4. Step 4: Simplify right side
    721.84x = 680,522.78
  5. Step 5: Solve for x
    x = 680,522.78/721.84
  6. Step 6: Final answer
    x = 942.76

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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.