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Finding the Fourth Proportional to 594.43, 820.99 and 484.47

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Solution

The fourth proportional to 594.43, 820.99 and 484.47 is: 669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.43 : 820.99 = 484.47 : x
  2. Step 2: Convert to fraction form
    594.43/820.99 = 484.47/x
  3. Step 3: Cross multiply
    594.43x = 820.99 × 484.47
  4. Step 4: Simplify right side
    594.43x = 397,745.03
  5. Step 5: Solve for x
    x = 397,745.03/594.43
  6. Step 6: Final answer
    x = 669.12

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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.