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Finding the Fourth Proportional to 584.64, 806.31 and 451.89

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Solution

The fourth proportional to 584.64, 806.31 and 451.89 is: 623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.64 : 806.31 = 451.89 : x
  2. Step 2: Convert to fraction form
    584.64/806.31 = 451.89/x
  3. Step 3: Cross multiply
    584.64x = 806.31 × 451.89
  4. Step 4: Simplify right side
    584.64x = 364,363.43
  5. Step 5: Solve for x
    x = 364,363.43/584.64
  6. Step 6: Final answer
    x = 623.23

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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.