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Finding the Fourth Proportional to 1,013.11, 1,398.50 and 682.49

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Solution

The fourth proportional to 1,013.11, 1,398.50 and 682.49 is: 942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.11 : 1,398.50 = 682.49 : x
  2. Step 2: Convert to fraction form
    1,013.11/1,398.50 = 682.49/x
  3. Step 3: Cross multiply
    1,013.11x = 1,398.50 × 682.49
  4. Step 4: Simplify right side
    1,013.11x = 954,464.91
  5. Step 5: Solve for x
    x = 954,464.91/1,013.11
  6. Step 6: Final answer
    x = 942.12

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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.