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Finding the Fourth Proportional to 620.46, 930.89 and 296.06

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Solution

The fourth proportional to 620.46, 930.89 and 296.06 is: 444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.46 : 930.89 = 296.06 : x
  2. Step 2: Convert to fraction form
    620.46/930.89 = 296.06/x
  3. Step 3: Cross multiply
    620.46x = 930.89 × 296.06
  4. Step 4: Simplify right side
    620.46x = 275,595.38
  5. Step 5: Solve for x
    x = 275,595.38/620.46
  6. Step 6: Final answer
    x = 444.18

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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.