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Finding the Fourth Proportional to 683.92, 1,026.50 and 478.66

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Solution

The fourth proportional to 683.92, 1,026.50 and 478.66 is: 718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.92 : 1,026.50 = 478.66 : x
  2. Step 2: Convert to fraction form
    683.92/1,026.50 = 478.66/x
  3. Step 3: Cross multiply
    683.92x = 1,026.50 × 478.66
  4. Step 4: Simplify right side
    683.92x = 491,344.49
  5. Step 5: Solve for x
    x = 491,344.49/683.92
  6. Step 6: Final answer
    x = 718.42

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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.