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Finding the Fourth Proportional to 728.07, 1,091.85 and 468.36

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Solution

The fourth proportional to 728.07, 1,091.85 and 468.36 is: 702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.07 : 1,091.85 = 468.36 : x
  2. Step 2: Convert to fraction form
    728.07/1,091.85 = 468.36/x
  3. Step 3: Cross multiply
    728.07x = 1,091.85 × 468.36
  4. Step 4: Simplify right side
    728.07x = 511,378.87
  5. Step 5: Solve for x
    x = 511,378.87/728.07
  6. Step 6: Final answer
    x = 702.38

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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.