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Finding the Fourth Proportional to 683.98, 1,024.19 and 574.02

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Solution

The fourth proportional to 683.98, 1,024.19 and 574.02 is: 859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.98 : 1,024.19 = 574.02 : x
  2. Step 2: Convert to fraction form
    683.98/1,024.19 = 574.02/x
  3. Step 3: Cross multiply
    683.98x = 1,024.19 × 574.02
  4. Step 4: Simplify right side
    683.98x = 587,902.67
  5. Step 5: Solve for x
    x = 587,902.67/683.98
  6. Step 6: Final answer
    x = 859.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.