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Finding the Fourth Proportional to 1,213.91, 1,672.54 and 1,014.04

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Solution

The fourth proportional to 1,213.91, 1,672.54 and 1,014.04 is: 1,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.91 : 1,672.54 = 1,014.04 : x
  2. Step 2: Convert to fraction form
    1,213.91/1,672.54 = 1,014.04/x
  3. Step 3: Cross multiply
    1,213.91x = 1,672.54 × 1,014.04
  4. Step 4: Simplify right side
    1,213.91x = 1,696,022.46
  5. Step 5: Solve for x
    x = 1,696,022.46/1,213.91
  6. Step 6: Final answer
    x = 1,397.16

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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.