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Finding the Fourth Proportional to 727.40, 1,085.66 and 704.72

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Solution

The fourth proportional to 727.40, 1,085.66 and 704.72 is: 1,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.40 : 1,085.66 = 704.72 : x
  2. Step 2: Convert to fraction form
    727.40/1,085.66 = 704.72/x
  3. Step 3: Cross multiply
    727.40x = 1,085.66 × 704.72
  4. Step 4: Simplify right side
    727.40x = 765,077.36
  5. Step 5: Solve for x
    x = 765,077.36/727.40
  6. Step 6: Final answer
    x = 1,051.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.