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Finding the Fourth Proportional to 787.08, 1,083.52 and 683.56

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Solution

The fourth proportional to 787.08, 1,083.52 and 683.56 is: 941.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.08 : 1,083.52 = 683.56 : x
  2. Step 2: Convert to fraction form
    787.08/1,083.52 = 683.56/x
  3. Step 3: Cross multiply
    787.08x = 1,083.52 × 683.56
  4. Step 4: Simplify right side
    787.08x = 740,650.93
  5. Step 5: Solve for x
    x = 740,650.93/787.08
  6. Step 6: Final answer
    x = 941.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.