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Finding the Fourth Proportional to 934.23, 1,287.12 and 723.67

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Solution

The fourth proportional to 934.23, 1,287.12 and 723.67 is: 997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.23 : 1,287.12 = 723.67 : x
  2. Step 2: Convert to fraction form
    934.23/1,287.12 = 723.67/x
  3. Step 3: Cross multiply
    934.23x = 1,287.12 × 723.67
  4. Step 4: Simplify right side
    934.23x = 931,449.63
  5. Step 5: Solve for x
    x = 931,449.63/934.23
  6. Step 6: Final answer
    x = 997.02

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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.