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Finding the Fourth Proportional to 1,846.50, 2,770.08 and 613.98

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Solution

The fourth proportional to 1,846.50, 2,770.08 and 613.98 is: 921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.50 : 2,770.08 = 613.98 : x
  2. Step 2: Convert to fraction form
    1,846.50/2,770.08 = 613.98/x
  3. Step 3: Cross multiply
    1,846.50x = 2,770.08 × 613.98
  4. Step 4: Simplify right side
    1,846.50x = 1,700,773.72
  5. Step 5: Solve for x
    x = 1,700,773.72/1,846.50
  6. Step 6: Final answer
    x = 921.08

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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.