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Finding the Fourth Proportional to 683.61, 942.75 and 604.64

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Solution

The fourth proportional to 683.61, 942.75 and 604.64 is: 833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.61 : 942.75 = 604.64 : x
  2. Step 2: Convert to fraction form
    683.61/942.75 = 604.64/x
  3. Step 3: Cross multiply
    683.61x = 942.75 × 604.64
  4. Step 4: Simplify right side
    683.61x = 570,019.65
  5. Step 5: Solve for x
    x = 570,019.65/683.61
  6. Step 6: Final answer
    x = 833.84

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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.