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Finding the Fourth Proportional to 812.85, 1,219.57 and 488.44

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Solution

The fourth proportional to 812.85, 1,219.57 and 488.44 is: 732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.85 : 1,219.57 = 488.44 : x
  2. Step 2: Convert to fraction form
    812.85/1,219.57 = 488.44/x
  3. Step 3: Cross multiply
    812.85x = 1,219.57 × 488.44
  4. Step 4: Simplify right side
    812.85x = 595,686.77
  5. Step 5: Solve for x
    x = 595,686.77/812.85
  6. Step 6: Final answer
    x = 732.84

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1.5x scale

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.