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Finding the Fourth Proportional to 728.49, 1,091.03 and 618.51

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Solution

The fourth proportional to 728.49, 1,091.03 and 618.51 is: 926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.49 : 1,091.03 = 618.51 : x
  2. Step 2: Convert to fraction form
    728.49/1,091.03 = 618.51/x
  3. Step 3: Cross multiply
    728.49x = 1,091.03 × 618.51
  4. Step 4: Simplify right side
    728.49x = 674,809.87
  5. Step 5: Solve for x
    x = 674,809.87/728.49
  6. Step 6: Final answer
    x = 926.31

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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.