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Finding the Fourth Proportional to 727.63, 1,008.36 and 713.78

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Solution

The fourth proportional to 727.63, 1,008.36 and 713.78 is: 989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.63 : 1,008.36 = 713.78 : x
  2. Step 2: Convert to fraction form
    727.63/1,008.36 = 713.78/x
  3. Step 3: Cross multiply
    727.63x = 1,008.36 × 713.78
  4. Step 4: Simplify right side
    727.63x = 719,742.90
  5. Step 5: Solve for x
    x = 719,742.90/727.63
  6. Step 6: Final answer
    x = 989.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.