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Finding the Fourth Proportional to 858.78, 1,288.53 and 371.94

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Solution

The fourth proportional to 858.78, 1,288.53 and 371.94 is: 558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.78 : 1,288.53 = 371.94 : x
  2. Step 2: Convert to fraction form
    858.78/1,288.53 = 371.94/x
  3. Step 3: Cross multiply
    858.78x = 1,288.53 × 371.94
  4. Step 4: Simplify right side
    858.78x = 479,255.85
  5. Step 5: Solve for x
    x = 479,255.85/858.78
  6. Step 6: Final answer
    x = 558.07

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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.