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Finding the Fourth Proportional to 727.77, 1,090.44 and 583.19

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Solution

The fourth proportional to 727.77, 1,090.44 and 583.19 is: 873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.77 : 1,090.44 = 583.19 : x
  2. Step 2: Convert to fraction form
    727.77/1,090.44 = 583.19/x
  3. Step 3: Cross multiply
    727.77x = 1,090.44 × 583.19
  4. Step 4: Simplify right side
    727.77x = 635,933.70
  5. Step 5: Solve for x
    x = 635,933.70/727.77
  6. Step 6: Final answer
    x = 873.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.