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Finding the Fourth Proportional to 2,193.79, 3,290.68 and 654.79

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Solution

The fourth proportional to 2,193.79, 3,290.68 and 654.79 is: 982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.79 : 3,290.68 = 654.79 : x
  2. Step 2: Convert to fraction form
    2,193.79/3,290.68 = 654.79/x
  3. Step 3: Cross multiply
    2,193.79x = 3,290.68 × 654.79
  4. Step 4: Simplify right side
    2,193.79x = 2,154,704.36
  5. Step 5: Solve for x
    x = 2,154,704.36/2,193.79
  6. Step 6: Final answer
    x = 982.18

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.