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Finding the Fourth Proportional to 913.19, 1,367.73 and 892.67

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Solution

The fourth proportional to 913.19, 1,367.73 and 892.67 is: 1,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.19 : 1,367.73 = 892.67 : x
  2. Step 2: Convert to fraction form
    913.19/1,367.73 = 892.67/x
  3. Step 3: Cross multiply
    913.19x = 1,367.73 × 892.67
  4. Step 4: Simplify right side
    913.19x = 1,220,924.70
  5. Step 5: Solve for x
    x = 1,220,924.70/913.19
  6. Step 6: Final answer
    x = 1,337.00

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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.