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Finding the Fourth Proportional to 727.66, 1,083.69 and 708.22

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Solution

The fourth proportional to 727.66, 1,083.69 and 708.22 is: 1,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.66 : 1,083.69 = 708.22 : x
  2. Step 2: Convert to fraction form
    727.66/1,083.69 = 708.22/x
  3. Step 3: Cross multiply
    727.66x = 1,083.69 × 708.22
  4. Step 4: Simplify right side
    727.66x = 767,490.93
  5. Step 5: Solve for x
    x = 767,490.93/727.66
  6. Step 6: Final answer
    x = 1,054.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.