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Finding the Fourth Proportional to 727.70, 1,090.74 and 342.14

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Solution

The fourth proportional to 727.70, 1,090.74 and 342.14 is: 512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.70 : 1,090.74 = 342.14 : x
  2. Step 2: Convert to fraction form
    727.70/1,090.74 = 342.14/x
  3. Step 3: Cross multiply
    727.70x = 1,090.74 × 342.14
  4. Step 4: Simplify right side
    727.70x = 373,185.78
  5. Step 5: Solve for x
    x = 373,185.78/727.70
  6. Step 6: Final answer
    x = 512.83

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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.