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Finding the Fourth Proportional to 1,271.92, 1,906.79 and 578.34

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Solution

The fourth proportional to 1,271.92, 1,906.79 and 578.34 is: 867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.92 : 1,906.79 = 578.34 : x
  2. Step 2: Convert to fraction form
    1,271.92/1,906.79 = 578.34/x
  3. Step 3: Cross multiply
    1,271.92x = 1,906.79 × 578.34
  4. Step 4: Simplify right side
    1,271.92x = 1,102,773.29
  5. Step 5: Solve for x
    x = 1,102,773.29/1,271.92
  6. Step 6: Final answer
    x = 867.02

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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.