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Finding the Fourth Proportional to 889.08, 1,220.41 and 788.64

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Solution

The fourth proportional to 889.08, 1,220.41 and 788.64 is: 1,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.08 : 1,220.41 = 788.64 : x
  2. Step 2: Convert to fraction form
    889.08/1,220.41 = 788.64/x
  3. Step 3: Cross multiply
    889.08x = 1,220.41 × 788.64
  4. Step 4: Simplify right side
    889.08x = 962,460.20
  5. Step 5: Solve for x
    x = 962,460.20/889.08
  6. Step 6: Final answer
    x = 1,082.53

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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.