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Finding the Fourth Proportional to 763.50, 1,137.66 and 681.75

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Solution

The fourth proportional to 763.50, 1,137.66 and 681.75 is: 1,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.50 : 1,137.66 = 681.75 : x
  2. Step 2: Convert to fraction form
    763.50/1,137.66 = 681.75/x
  3. Step 3: Cross multiply
    763.50x = 1,137.66 × 681.75
  4. Step 4: Simplify right side
    763.50x = 775,599.71
  5. Step 5: Solve for x
    x = 775,599.71/763.50
  6. Step 6: Final answer
    x = 1,015.85

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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.