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Finding the Fourth Proportional to 1,027.94, 1,541.86 and 378.64

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Solution

The fourth proportional to 1,027.94, 1,541.86 and 378.64 is: 567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.94 : 1,541.86 = 378.64 : x
  2. Step 2: Convert to fraction form
    1,027.94/1,541.86 = 378.64/x
  3. Step 3: Cross multiply
    1,027.94x = 1,541.86 × 378.64
  4. Step 4: Simplify right side
    1,027.94x = 583,809.87
  5. Step 5: Solve for x
    x = 583,809.87/1,027.94
  6. Step 6: Final answer
    x = 567.94

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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.