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Finding the Fourth Proportional to 683.06, 942.28 and 446.94

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Solution

The fourth proportional to 683.06, 942.28 and 446.94 is: 616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.06 : 942.28 = 446.94 : x
  2. Step 2: Convert to fraction form
    683.06/942.28 = 446.94/x
  3. Step 3: Cross multiply
    683.06x = 942.28 × 446.94
  4. Step 4: Simplify right side
    683.06x = 421,141.51
  5. Step 5: Solve for x
    x = 421,141.51/683.06
  6. Step 6: Final answer
    x = 616.56

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1.5x scale

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.