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Finding the Fourth Proportional to 683.27, 1,024.91 and 359.27

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Solution

The fourth proportional to 683.27, 1,024.91 and 359.27 is: 538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.27 : 1,024.91 = 359.27 : x
  2. Step 2: Convert to fraction form
    683.27/1,024.91 = 359.27/x
  3. Step 3: Cross multiply
    683.27x = 1,024.91 × 359.27
  4. Step 4: Simplify right side
    683.27x = 368,219.42
  5. Step 5: Solve for x
    x = 368,219.42/683.27
  6. Step 6: Final answer
    x = 538.91

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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.