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Finding the Fourth Proportional to 992.68, 1,490.38 and 683.78

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Solution

The fourth proportional to 992.68, 1,490.38 and 683.78 is: 1,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.68 : 1,490.38 = 683.78 : x
  2. Step 2: Convert to fraction form
    992.68/1,490.38 = 683.78/x
  3. Step 3: Cross multiply
    992.68x = 1,490.38 × 683.78
  4. Step 4: Simplify right side
    992.68x = 1,019,082.88
  5. Step 5: Solve for x
    x = 1,019,082.88/992.68
  6. Step 6: Final answer
    x = 1,026.60

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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.