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Finding the Fourth Proportional to 1,232.30, 1,849.80 and 770.60

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Solution

The fourth proportional to 1,232.30, 1,849.80 and 770.60 is: 1,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.30 : 1,849.80 = 770.60 : x
  2. Step 2: Convert to fraction form
    1,232.30/1,849.80 = 770.60/x
  3. Step 3: Cross multiply
    1,232.30x = 1,849.80 × 770.60
  4. Step 4: Simplify right side
    1,232.30x = 1,425,455.88
  5. Step 5: Solve for x
    x = 1,425,455.88/1,232.30
  6. Step 6: Final answer
    x = 1,156.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.