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Finding the Fourth Proportional to 683.50, 942.78 and 462.52

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Solution

The fourth proportional to 683.50, 942.78 and 462.52 is: 637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.50 : 942.78 = 462.52 : x
  2. Step 2: Convert to fraction form
    683.50/942.78 = 462.52/x
  3. Step 3: Cross multiply
    683.50x = 942.78 × 462.52
  4. Step 4: Simplify right side
    683.50x = 436,054.61
  5. Step 5: Solve for x
    x = 436,054.61/683.50
  6. Step 6: Final answer
    x = 637.97

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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.