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Finding the Fourth Proportional to 967.14, 1,334.34 and 617.76

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Solution

The fourth proportional to 967.14, 1,334.34 and 617.76 is: 852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.14 : 1,334.34 = 617.76 : x
  2. Step 2: Convert to fraction form
    967.14/1,334.34 = 617.76/x
  3. Step 3: Cross multiply
    967.14x = 1,334.34 × 617.76
  4. Step 4: Simplify right side
    967.14x = 824,301.88
  5. Step 5: Solve for x
    x = 824,301.88/967.14
  6. Step 6: Final answer
    x = 852.31

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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.