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Finding the Fourth Proportional to 740.79, 1,119.60 and 728.04

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Solution

The fourth proportional to 740.79, 1,119.60 and 728.04 is: 1,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.79 : 1,119.60 = 728.04 : x
  2. Step 2: Convert to fraction form
    740.79/1,119.60 = 728.04/x
  3. Step 3: Cross multiply
    740.79x = 1,119.60 × 728.04
  4. Step 4: Simplify right side
    740.79x = 815,113.58
  5. Step 5: Solve for x
    x = 815,113.58/740.79
  6. Step 6: Final answer
    x = 1,100.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.