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Finding the Fourth Proportional to 1,293.15, 1,939.43 and 368.54

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Solution

The fourth proportional to 1,293.15, 1,939.43 and 368.54 is: 552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.15 : 1,939.43 = 368.54 : x
  2. Step 2: Convert to fraction form
    1,293.15/1,939.43 = 368.54/x
  3. Step 3: Cross multiply
    1,293.15x = 1,939.43 × 368.54
  4. Step 4: Simplify right side
    1,293.15x = 714,745.99
  5. Step 5: Solve for x
    x = 714,745.99/1,293.15
  6. Step 6: Final answer
    x = 552.72

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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.