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Finding the Fourth Proportional to 727.98, 1,090.32 and 618.78

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Solution

The fourth proportional to 727.98, 1,090.32 and 618.78 is: 926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.98 : 1,090.32 = 618.78 : x
  2. Step 2: Convert to fraction form
    727.98/1,090.32 = 618.78/x
  3. Step 3: Cross multiply
    727.98x = 1,090.32 × 618.78
  4. Step 4: Simplify right side
    727.98x = 674,668.21
  5. Step 5: Solve for x
    x = 674,668.21/727.98
  6. Step 6: Final answer
    x = 926.77

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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.