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Finding the Fourth Proportional to 967.67, 1,334.50 and 719.61

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Solution

The fourth proportional to 967.67, 1,334.50 and 719.61 is: 992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.67 : 1,334.50 = 719.61 : x
  2. Step 2: Convert to fraction form
    967.67/1,334.50 = 719.61/x
  3. Step 3: Cross multiply
    967.67x = 1,334.50 × 719.61
  4. Step 4: Simplify right side
    967.67x = 960,319.55
  5. Step 5: Solve for x
    x = 960,319.55/967.67
  6. Step 6: Final answer
    x = 992.40

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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.