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Finding the Fourth Proportional to 860.52, 1,289.46 and 427.92

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Solution

The fourth proportional to 860.52, 1,289.46 and 427.92 is: 641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.52 : 1,289.46 = 427.92 : x
  2. Step 2: Convert to fraction form
    860.52/1,289.46 = 427.92/x
  3. Step 3: Cross multiply
    860.52x = 1,289.46 × 427.92
  4. Step 4: Simplify right side
    860.52x = 551,785.72
  5. Step 5: Solve for x
    x = 551,785.72/860.52
  6. Step 6: Final answer
    x = 641.22

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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.