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Finding the Fourth Proportional to 1,220.50, 1,684.57 and 794.38

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Solution

The fourth proportional to 1,220.50, 1,684.57 and 794.38 is: 1,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.50 : 1,684.57 = 794.38 : x
  2. Step 2: Convert to fraction form
    1,220.50/1,684.57 = 794.38/x
  3. Step 3: Cross multiply
    1,220.50x = 1,684.57 × 794.38
  4. Step 4: Simplify right side
    1,220.50x = 1,338,187.17
  5. Step 5: Solve for x
    x = 1,338,187.17/1,220.50
  6. Step 6: Final answer
    x = 1,096.42

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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.