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Finding the Fourth Proportional to 584.46, 806.76 and 453.78

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Solution

The fourth proportional to 584.46, 806.76 and 453.78 is: 626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.46 : 806.76 = 453.78 : x
  2. Step 2: Convert to fraction form
    584.46/806.76 = 453.78/x
  3. Step 3: Cross multiply
    584.46x = 806.76 × 453.78
  4. Step 4: Simplify right side
    584.46x = 366,091.55
  5. Step 5: Solve for x
    x = 366,091.55/584.46
  6. Step 6: Final answer
    x = 626.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.