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Finding the Fourth Proportional to 847.78, 1,271.74 and 299.92

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Solution

The fourth proportional to 847.78, 1,271.74 and 299.92 is: 449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.78 : 1,271.74 = 299.92 : x
  2. Step 2: Convert to fraction form
    847.78/1,271.74 = 299.92/x
  3. Step 3: Cross multiply
    847.78x = 1,271.74 × 299.92
  4. Step 4: Simplify right side
    847.78x = 381,420.26
  5. Step 5: Solve for x
    x = 381,420.26/847.78
  6. Step 6: Final answer
    x = 449.90

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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.