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Finding the Fourth Proportional to 788.06, 1,189.28 and 783.27

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Solution

The fourth proportional to 788.06, 1,189.28 and 783.27 is: 1,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.06 : 1,189.28 = 783.27 : x
  2. Step 2: Convert to fraction form
    788.06/1,189.28 = 783.27/x
  3. Step 3: Cross multiply
    788.06x = 1,189.28 × 783.27
  4. Step 4: Simplify right side
    788.06x = 931,529.30
  5. Step 5: Solve for x
    x = 931,529.30/788.06
  6. Step 6: Final answer
    x = 1,182.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.