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Finding the Fourth Proportional to 683.38, 1,024.80 and 395.02

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Solution

The fourth proportional to 683.38, 1,024.80 and 395.02 is: 592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.38 : 1,024.80 = 395.02 : x
  2. Step 2: Convert to fraction form
    683.38/1,024.80 = 395.02/x
  3. Step 3: Cross multiply
    683.38x = 1,024.80 × 395.02
  4. Step 4: Simplify right side
    683.38x = 404,816.50
  5. Step 5: Solve for x
    x = 404,816.50/683.38
  6. Step 6: Final answer
    x = 592.37

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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.