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Finding the Fourth Proportional to 683.71, 1,025.57 and 250.77

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Solution

The fourth proportional to 683.71, 1,025.57 and 250.77 is: 376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.71 : 1,025.57 = 250.77 : x
  2. Step 2: Convert to fraction form
    683.71/1,025.57 = 250.77/x
  3. Step 3: Cross multiply
    683.71x = 1,025.57 × 250.77
  4. Step 4: Simplify right side
    683.71x = 257,182.19
  5. Step 5: Solve for x
    x = 257,182.19/683.71
  6. Step 6: Final answer
    x = 376.16

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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.