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Finding the Fourth Proportional to 920.36, 1,267.53 and 763.67

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Solution

The fourth proportional to 920.36, 1,267.53 and 763.67 is: 1,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.36 : 1,267.53 = 763.67 : x
  2. Step 2: Convert to fraction form
    920.36/1,267.53 = 763.67/x
  3. Step 3: Cross multiply
    920.36x = 1,267.53 × 763.67
  4. Step 4: Simplify right side
    920.36x = 967,974.64
  5. Step 5: Solve for x
    x = 967,974.64/920.36
  6. Step 6: Final answer
    x = 1,051.73

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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.