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Finding the Fourth Proportional to 594.74, 820.41 and 461.90

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Solution

The fourth proportional to 594.74, 820.41 and 461.90 is: 637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.74 : 820.41 = 461.90 : x
  2. Step 2: Convert to fraction form
    594.74/820.41 = 461.90/x
  3. Step 3: Cross multiply
    594.74x = 820.41 × 461.90
  4. Step 4: Simplify right side
    594.74x = 378,947.38
  5. Step 5: Solve for x
    x = 378,947.38/594.74
  6. Step 6: Final answer
    x = 637.16

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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.