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Finding the Fourth Proportional to 683.92, 1,025.20 and 319

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Solution

The fourth proportional to 683.92, 1,025.20 and 319 is: 478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.92 : 1,025.20 = 319 : x
  2. Step 2: Convert to fraction form
    683.92/1,025.20 = 319/x
  3. Step 3: Cross multiply
    683.92x = 1,025.20 × 319
  4. Step 4: Simplify right side
    683.92x = 327,038.80
  5. Step 5: Solve for x
    x = 327,038.80/683.92
  6. Step 6: Final answer
    x = 478.18

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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.