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Finding the Fourth Proportional to 584.70, 806.31 and 453.66

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Solution

The fourth proportional to 584.70, 806.31 and 453.66 is: 625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.70 : 806.31 = 453.66 : x
  2. Step 2: Convert to fraction form
    584.70/806.31 = 453.66/x
  3. Step 3: Cross multiply
    584.70x = 806.31 × 453.66
  4. Step 4: Simplify right side
    584.70x = 365,790.59
  5. Step 5: Solve for x
    x = 365,790.59/584.70
  6. Step 6: Final answer
    x = 625.60

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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.