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Finding the Fourth Proportional to 1,243.66, 1,865.81 and 377.98

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Solution

The fourth proportional to 1,243.66, 1,865.81 and 377.98 is: 567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.66 : 1,865.81 = 377.98 : x
  2. Step 2: Convert to fraction form
    1,243.66/1,865.81 = 377.98/x
  3. Step 3: Cross multiply
    1,243.66x = 1,865.81 × 377.98
  4. Step 4: Simplify right side
    1,243.66x = 705,238.86
  5. Step 5: Solve for x
    x = 705,238.86/1,243.66
  6. Step 6: Final answer
    x = 567.07

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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.