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Finding the Fourth Proportional to 683.87, 1,030.81 and 625.44

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Solution

The fourth proportional to 683.87, 1,030.81 and 625.44 is: 942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.87 : 1,030.81 = 625.44 : x
  2. Step 2: Convert to fraction form
    683.87/1,030.81 = 625.44/x
  3. Step 3: Cross multiply
    683.87x = 1,030.81 × 625.44
  4. Step 4: Simplify right side
    683.87x = 644,709.81
  5. Step 5: Solve for x
    x = 644,709.81/683.87
  6. Step 6: Final answer
    x = 942.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.