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Finding the Fourth Proportional to 3,079.23, 4,618.88 and 770.73

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Solution

The fourth proportional to 3,079.23, 4,618.88 and 770.73 is: 1,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.23 : 4,618.88 = 770.73 : x
  2. Step 2: Convert to fraction form
    3,079.23/4,618.88 = 770.73/x
  3. Step 3: Cross multiply
    3,079.23x = 4,618.88 × 770.73
  4. Step 4: Simplify right side
    3,079.23x = 3,559,909.38
  5. Step 5: Solve for x
    x = 3,559,909.38/3,079.23
  6. Step 6: Final answer
    x = 1,156.10

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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.