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Finding the Fourth Proportional to 1,213.50, 1,674.63 and 661.50

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Solution

The fourth proportional to 1,213.50, 1,674.63 and 661.50 is: 912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.50 : 1,674.63 = 661.50 : x
  2. Step 2: Convert to fraction form
    1,213.50/1,674.63 = 661.50/x
  3. Step 3: Cross multiply
    1,213.50x = 1,674.63 × 661.50
  4. Step 4: Simplify right side
    1,213.50x = 1,107,767.75
  5. Step 5: Solve for x
    x = 1,107,767.75/1,213.50
  6. Step 6: Final answer
    x = 912.87

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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.