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Finding the Fourth Proportional to 683.04, 941.95 and 459.48

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Solution

The fourth proportional to 683.04, 941.95 and 459.48 is: 633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.04 : 941.95 = 459.48 : x
  2. Step 2: Convert to fraction form
    683.04/941.95 = 459.48/x
  3. Step 3: Cross multiply
    683.04x = 941.95 × 459.48
  4. Step 4: Simplify right side
    683.04x = 432,806.04
  5. Step 5: Solve for x
    x = 432,806.04/683.04
  6. Step 6: Final answer
    x = 633.65

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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.