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Finding the Fourth Proportional to 1,035.89, 1,428.95 and 681.83

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Solution

The fourth proportional to 1,035.89, 1,428.95 and 681.83 is: 940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.89 : 1,428.95 = 681.83 : x
  2. Step 2: Convert to fraction form
    1,035.89/1,428.95 = 681.83/x
  3. Step 3: Cross multiply
    1,035.89x = 1,428.95 × 681.83
  4. Step 4: Simplify right side
    1,035.89x = 974,297.57
  5. Step 5: Solve for x
    x = 974,297.57/1,035.89
  6. Step 6: Final answer
    x = 940.54

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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.