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Finding the Fourth Proportional to 683.90, 1,026.76 and 376.84

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Solution

The fourth proportional to 683.90, 1,026.76 and 376.84 is: 565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.90 : 1,026.76 = 376.84 : x
  2. Step 2: Convert to fraction form
    683.90/1,026.76 = 376.84/x
  3. Step 3: Cross multiply
    683.90x = 1,026.76 × 376.84
  4. Step 4: Simplify right side
    683.90x = 386,924.24
  5. Step 5: Solve for x
    x = 386,924.24/683.90
  6. Step 6: Final answer
    x = 565.76

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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.