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Finding the Fourth Proportional to 594.07, 819.81 and 345.43

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Solution

The fourth proportional to 594.07, 819.81 and 345.43 is: 476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.07 : 819.81 = 345.43 : x
  2. Step 2: Convert to fraction form
    594.07/819.81 = 345.43/x
  3. Step 3: Cross multiply
    594.07x = 819.81 × 345.43
  4. Step 4: Simplify right side
    594.07x = 283,186.97
  5. Step 5: Solve for x
    x = 283,186.97/594.07
  6. Step 6: Final answer
    x = 476.69

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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.