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Finding the Fourth Proportional to 1,035.85, 1,428.96 and 682.39

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Solution

The fourth proportional to 1,035.85, 1,428.96 and 682.39 is: 941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.85 : 1,428.96 = 682.39 : x
  2. Step 2: Convert to fraction form
    1,035.85/1,428.96 = 682.39/x
  3. Step 3: Cross multiply
    1,035.85x = 1,428.96 × 682.39
  4. Step 4: Simplify right side
    1,035.85x = 975,108.01
  5. Step 5: Solve for x
    x = 975,108.01/1,035.85
  6. Step 6: Final answer
    x = 941.36

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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.