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Finding the Fourth Proportional to 847.61, 1,271.05 and 299.87

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Solution

The fourth proportional to 847.61, 1,271.05 and 299.87 is: 449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.61 : 1,271.05 = 299.87 : x
  2. Step 2: Convert to fraction form
    847.61/1,271.05 = 299.87/x
  3. Step 3: Cross multiply
    847.61x = 1,271.05 × 299.87
  4. Step 4: Simplify right side
    847.61x = 381,149.76
  5. Step 5: Solve for x
    x = 381,149.76/847.61
  6. Step 6: Final answer
    x = 449.68

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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.