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Finding the Fourth Proportional to 839.94, 1,259.45 and 742.67

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Solution

The fourth proportional to 839.94, 1,259.45 and 742.67 is: 1,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.94 : 1,259.45 = 742.67 : x
  2. Step 2: Convert to fraction form
    839.94/1,259.45 = 742.67/x
  3. Step 3: Cross multiply
    839.94x = 1,259.45 × 742.67
  4. Step 4: Simplify right side
    839.94x = 935,355.73
  5. Step 5: Solve for x
    x = 935,355.73/839.94
  6. Step 6: Final answer
    x = 1,113.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.