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Finding the Fourth Proportional to 1,213.76, 1,674.99 and 661.76

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Solution

The fourth proportional to 1,213.76, 1,674.99 and 661.76 is: 913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.76 : 1,674.99 = 661.76 : x
  2. Step 2: Convert to fraction form
    1,213.76/1,674.99 = 661.76/x
  3. Step 3: Cross multiply
    1,213.76x = 1,674.99 × 661.76
  4. Step 4: Simplify right side
    1,213.76x = 1,108,441.38
  5. Step 5: Solve for x
    x = 1,108,441.38/1,213.76
  6. Step 6: Final answer
    x = 913.23

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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.