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Finding the Fourth Proportional to 819.77, 1,228.42 and 454.67

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Solution

The fourth proportional to 819.77, 1,228.42 and 454.67 is: 681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.77 : 1,228.42 = 454.67 : x
  2. Step 2: Convert to fraction form
    819.77/1,228.42 = 454.67/x
  3. Step 3: Cross multiply
    819.77x = 1,228.42 × 454.67
  4. Step 4: Simplify right side
    819.77x = 558,525.72
  5. Step 5: Solve for x
    x = 558,525.72/819.77
  6. Step 6: Final answer
    x = 681.32

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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.