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Finding the Fourth Proportional to 797.76, 1,093.73 and 783.18

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Solution

The fourth proportional to 797.76, 1,093.73 and 783.18 is: 1,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.76 : 1,093.73 = 783.18 : x
  2. Step 2: Convert to fraction form
    797.76/1,093.73 = 783.18/x
  3. Step 3: Cross multiply
    797.76x = 1,093.73 × 783.18
  4. Step 4: Simplify right side
    797.76x = 856,583.55
  5. Step 5: Solve for x
    x = 856,583.55/797.76
  6. Step 6: Final answer
    x = 1,073.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.