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Finding the Fourth Proportional to 683.83, 1,025.96 and 288.71

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Solution

The fourth proportional to 683.83, 1,025.96 and 288.71 is: 433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.83 : 1,025.96 = 288.71 : x
  2. Step 2: Convert to fraction form
    683.83/1,025.96 = 288.71/x
  3. Step 3: Cross multiply
    683.83x = 1,025.96 × 288.71
  4. Step 4: Simplify right side
    683.83x = 296,208.77
  5. Step 5: Solve for x
    x = 296,208.77/683.83
  6. Step 6: Final answer
    x = 433.16

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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.