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Finding the Fourth Proportional to 967.22, 1,334.45 and 618.02

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Solution

The fourth proportional to 967.22, 1,334.45 and 618.02 is: 852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.22 : 1,334.45 = 618.02 : x
  2. Step 2: Convert to fraction form
    967.22/1,334.45 = 618.02/x
  3. Step 3: Cross multiply
    967.22x = 1,334.45 × 618.02
  4. Step 4: Simplify right side
    967.22x = 824,716.79
  5. Step 5: Solve for x
    x = 824,716.79/967.22
  6. Step 6: Final answer
    x = 852.67

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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.