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Finding the Fourth Proportional to 727.98, 1,090.37 and 612.65

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Solution

The fourth proportional to 727.98, 1,090.37 and 612.65 is: 917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.98 : 1,090.37 = 612.65 : x
  2. Step 2: Convert to fraction form
    727.98/1,090.37 = 612.65/x
  3. Step 3: Cross multiply
    727.98x = 1,090.37 × 612.65
  4. Step 4: Simplify right side
    727.98x = 668,019.44
  5. Step 5: Solve for x
    x = 668,019.44/727.98
  6. Step 6: Final answer
    x = 917.63

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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.