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Finding the Fourth Proportional to 594.09, 819.86 and 345.47

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Solution

The fourth proportional to 594.09, 819.86 and 345.47 is: 476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.09 : 819.86 = 345.47 : x
  2. Step 2: Convert to fraction form
    594.09/819.86 = 345.47/x
  3. Step 3: Cross multiply
    594.09x = 819.86 × 345.47
  4. Step 4: Simplify right side
    594.09x = 283,231.21
  5. Step 5: Solve for x
    x = 283,231.21/594.09
  6. Step 6: Final answer
    x = 476.75

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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.