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Finding the Fourth Proportional to 847.83, 1,272.15 and 414.75

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Solution

The fourth proportional to 847.83, 1,272.15 and 414.75 is: 622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.83 : 1,272.15 = 414.75 : x
  2. Step 2: Convert to fraction form
    847.83/1,272.15 = 414.75/x
  3. Step 3: Cross multiply
    847.83x = 1,272.15 × 414.75
  4. Step 4: Simplify right side
    847.83x = 527,624.21
  5. Step 5: Solve for x
    x = 527,624.21/847.83
  6. Step 6: Final answer
    x = 622.32

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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.