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Finding the Fourth Proportional to 816.62, 1,219.49 and 774.50

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Solution

The fourth proportional to 816.62, 1,219.49 and 774.50 is: 1,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.62 : 1,219.49 = 774.50 : x
  2. Step 2: Convert to fraction form
    816.62/1,219.49 = 774.50/x
  3. Step 3: Cross multiply
    816.62x = 1,219.49 × 774.50
  4. Step 4: Simplify right side
    816.62x = 944,487.94
  5. Step 5: Solve for x
    x = 944,487.94/816.62
  6. Step 6: Final answer
    x = 1,156.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.