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Finding the Fourth Proportional to 683.54, 941.04 and 572.84

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Solution

The fourth proportional to 683.54, 941.04 and 572.84 is: 788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.54 : 941.04 = 572.84 : x
  2. Step 2: Convert to fraction form
    683.54/941.04 = 572.84/x
  3. Step 3: Cross multiply
    683.54x = 941.04 × 572.84
  4. Step 4: Simplify right side
    683.54x = 539,060.65
  5. Step 5: Solve for x
    x = 539,060.65/683.54
  6. Step 6: Final answer
    x = 788.64

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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.