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Finding the Fourth Proportional to 620.72, 930.88 and 209.77

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Solution

The fourth proportional to 620.72, 930.88 and 209.77 is: 314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.72 : 930.88 = 209.77 : x
  2. Step 2: Convert to fraction form
    620.72/930.88 = 209.77/x
  3. Step 3: Cross multiply
    620.72x = 930.88 × 209.77
  4. Step 4: Simplify right side
    620.72x = 195,270.70
  5. Step 5: Solve for x
    x = 195,270.70/620.72
  6. Step 6: Final answer
    x = 314.59

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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.