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Finding the Fourth Proportional to 683.47, 1,024.03 and 538.15

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Solution

The fourth proportional to 683.47, 1,024.03 and 538.15 is: 806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.47 : 1,024.03 = 538.15 : x
  2. Step 2: Convert to fraction form
    683.47/1,024.03 = 538.15/x
  3. Step 3: Cross multiply
    683.47x = 1,024.03 × 538.15
  4. Step 4: Simplify right side
    683.47x = 551,078.75
  5. Step 5: Solve for x
    x = 551,078.75/683.47
  6. Step 6: Final answer
    x = 806.29

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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.