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Finding the Fourth Proportional to 797.58, 1,189.22 and 783

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Solution

The fourth proportional to 797.58, 1,189.22 and 783 is: 1,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.58 : 1,189.22 = 783 : x
  2. Step 2: Convert to fraction form
    797.58/1,189.22 = 783/x
  3. Step 3: Cross multiply
    797.58x = 1,189.22 × 783
  4. Step 4: Simplify right side
    797.58x = 931,155.35
  5. Step 5: Solve for x
    x = 931,155.35/797.58
  6. Step 6: Final answer
    x = 1,167.48

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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.