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Finding the Fourth Proportional to 818.70, 1,221.74 and 674.70

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Solution

The fourth proportional to 818.70, 1,221.74 and 674.70 is: 1,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.70 : 1,221.74 = 674.70 : x
  2. Step 2: Convert to fraction form
    818.70/1,221.74 = 674.70/x
  3. Step 3: Cross multiply
    818.70x = 1,221.74 × 674.70
  4. Step 4: Simplify right side
    818.70x = 824,304.60
  5. Step 5: Solve for x
    x = 824,304.60/818.70
  6. Step 6: Final answer
    x = 1,006.85

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1.5x scale

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.