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Finding the Fourth Proportional to 620.89, 932.94 and 467.80

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Solution

The fourth proportional to 620.89, 932.94 and 467.80 is: 702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.89 : 932.94 = 467.80 : x
  2. Step 2: Convert to fraction form
    620.89/932.94 = 467.80/x
  3. Step 3: Cross multiply
    620.89x = 932.94 × 467.80
  4. Step 4: Simplify right side
    620.89x = 436,427.00
  5. Step 5: Solve for x
    x = 436,427.00/620.89
  6. Step 6: Final answer
    x = 702.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.