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Finding the Fourth Proportional to 856.85, 1,283.90 and 774.84

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Solution

The fourth proportional to 856.85, 1,283.90 and 774.84 is: 1,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.85 : 1,283.90 = 774.84 : x
  2. Step 2: Convert to fraction form
    856.85/1,283.90 = 774.84/x
  3. Step 3: Cross multiply
    856.85x = 1,283.90 × 774.84
  4. Step 4: Simplify right side
    856.85x = 994,819.01
  5. Step 5: Solve for x
    x = 994,819.01/856.85
  6. Step 6: Final answer
    x = 1,161.02

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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.