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Finding the Fourth Proportional to 794.06, 1,185.17 and 701.80

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Solution

The fourth proportional to 794.06, 1,185.17 and 701.80 is: 1,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.06 : 1,185.17 = 701.80 : x
  2. Step 2: Convert to fraction form
    794.06/1,185.17 = 701.80/x
  3. Step 3: Cross multiply
    794.06x = 1,185.17 × 701.80
  4. Step 4: Simplify right side
    794.06x = 831,752.31
  5. Step 5: Solve for x
    x = 831,752.31/794.06
  6. Step 6: Final answer
    x = 1,047.47

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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.