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Finding the Fourth Proportional to 1,840.42, 2,760.66 and 607.90

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Solution

The fourth proportional to 1,840.42, 2,760.66 and 607.90 is: 911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.42 : 2,760.66 = 607.90 : x
  2. Step 2: Convert to fraction form
    1,840.42/2,760.66 = 607.90/x
  3. Step 3: Cross multiply
    1,840.42x = 2,760.66 × 607.90
  4. Step 4: Simplify right side
    1,840.42x = 1,678,205.21
  5. Step 5: Solve for x
    x = 1,678,205.21/1,840.42
  6. Step 6: Final answer
    x = 911.86

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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.