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Finding the Fourth Proportional to 594.61, 820.22 and 358.39

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Solution

The fourth proportional to 594.61, 820.22 and 358.39 is: 494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.61 : 820.22 = 358.39 : x
  2. Step 2: Convert to fraction form
    594.61/820.22 = 358.39/x
  3. Step 3: Cross multiply
    594.61x = 820.22 × 358.39
  4. Step 4: Simplify right side
    594.61x = 293,958.65
  5. Step 5: Solve for x
    x = 293,958.65/594.61
  6. Step 6: Final answer
    x = 494.37

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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.