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Finding the Fourth Proportional to 847.28, 1,271.48 and 573.68

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Solution

The fourth proportional to 847.28, 1,271.48 and 573.68 is: 860.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.28 : 1,271.48 = 573.68 : x
  2. Step 2: Convert to fraction form
    847.28/1,271.48 = 573.68/x
  3. Step 3: Cross multiply
    847.28x = 1,271.48 × 573.68
  4. Step 4: Simplify right side
    847.28x = 729,422.65
  5. Step 5: Solve for x
    x = 729,422.65/847.28
  6. Step 6: Final answer
    x = 860.90

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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.