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Finding the Fourth Proportional to 1,082.66, 1,493.42 and 683.62

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Solution

The fourth proportional to 1,082.66, 1,493.42 and 683.62 is: 942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.66 : 1,493.42 = 683.62 : x
  2. Step 2: Convert to fraction form
    1,082.66/1,493.42 = 683.62/x
  3. Step 3: Cross multiply
    1,082.66x = 1,493.42 × 683.62
  4. Step 4: Simplify right side
    1,082.66x = 1,020,931.78
  5. Step 5: Solve for x
    x = 1,020,931.78/1,082.66
  6. Step 6: Final answer
    x = 942.98

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