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Finding the Fourth Proportional to 2,193.66, 3,290.67 and 654.66

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Solution

The fourth proportional to 2,193.66, 3,290.67 and 654.66 is: 982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.66 : 3,290.67 = 654.66 : x
  2. Step 2: Convert to fraction form
    2,193.66/3,290.67 = 654.66/x
  3. Step 3: Cross multiply
    2,193.66x = 3,290.67 × 654.66
  4. Step 4: Simplify right side
    2,193.66x = 2,154,270.02
  5. Step 5: Solve for x
    x = 2,154,270.02/2,193.66
  6. Step 6: Final answer
    x = 982.04

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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.