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Finding the Fourth Proportional to 620.45, 930.49 and 209.49

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Solution

The fourth proportional to 620.45, 930.49 and 209.49 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.45 : 930.49 = 209.49 : x
  2. Step 2: Convert to fraction form
    620.45/930.49 = 209.49/x
  3. Step 3: Cross multiply
    620.45x = 930.49 × 209.49
  4. Step 4: Simplify right side
    620.45x = 194,928.35
  5. Step 5: Solve for x
    x = 194,928.35/620.45
  6. Step 6: Final answer
    x = 314.17

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1.5x scale

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.