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Finding the Fourth Proportional to 1,206.13, 1,664.50 and 682.19

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Solution

The fourth proportional to 1,206.13, 1,664.50 and 682.19 is: 941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.13 : 1,664.50 = 682.19 : x
  2. Step 2: Convert to fraction form
    1,206.13/1,664.50 = 682.19/x
  3. Step 3: Cross multiply
    1,206.13x = 1,664.50 × 682.19
  4. Step 4: Simplify right side
    1,206.13x = 1,135,503.55
  5. Step 5: Solve for x
    x = 1,135,503.55/1,206.13
  6. Step 6: Final answer
    x = 941.45

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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.