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Finding the Fourth Proportional to 763.09, 1,138.79 and 681.07

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Solution

The fourth proportional to 763.09, 1,138.79 and 681.07 is: 1,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.09 : 1,138.79 = 681.07 : x
  2. Step 2: Convert to fraction form
    763.09/1,138.79 = 681.07/x
  3. Step 3: Cross multiply
    763.09x = 1,138.79 × 681.07
  4. Step 4: Simplify right side
    763.09x = 775,595.71
  5. Step 5: Solve for x
    x = 775,595.71/763.09
  6. Step 6: Final answer
    x = 1,016.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.