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Finding the Fourth Proportional to 797.51, 1,100.34 and 703.64

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Solution

The fourth proportional to 797.51, 1,100.34 and 703.64 is: 970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.51 : 1,100.34 = 703.64 : x
  2. Step 2: Convert to fraction form
    797.51/1,100.34 = 703.64/x
  3. Step 3: Cross multiply
    797.51x = 1,100.34 × 703.64
  4. Step 4: Simplify right side
    797.51x = 774,245.99
  5. Step 5: Solve for x
    x = 774,245.99/797.51
  6. Step 6: Final answer
    x = 970.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.