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Finding the Fourth Proportional to 847.40, 1,271.57 and 414.56

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Solution

The fourth proportional to 847.40, 1,271.57 and 414.56 is: 622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.40 : 1,271.57 = 414.56 : x
  2. Step 2: Convert to fraction form
    847.40/1,271.57 = 414.56/x
  3. Step 3: Cross multiply
    847.40x = 1,271.57 × 414.56
  4. Step 4: Simplify right side
    847.40x = 527,142.06
  5. Step 5: Solve for x
    x = 527,142.06/847.40
  6. Step 6: Final answer
    x = 622.07

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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.