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Finding the Fourth Proportional to 683.18, 1,023.83 and 312.08

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Solution

The fourth proportional to 683.18, 1,023.83 and 312.08 is: 467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.18 : 1,023.83 = 312.08 : x
  2. Step 2: Convert to fraction form
    683.18/1,023.83 = 312.08/x
  3. Step 3: Cross multiply
    683.18x = 1,023.83 × 312.08
  4. Step 4: Simplify right side
    683.18x = 319,516.24
  5. Step 5: Solve for x
    x = 319,516.24/683.18
  6. Step 6: Final answer
    x = 467.69

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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.