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Finding the Fourth Proportional to 2,289.88, 3,434.64 and 729.82

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Solution

The fourth proportional to 2,289.88, 3,434.64 and 729.82 is: 1,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.88 : 3,434.64 = 729.82 : x
  2. Step 2: Convert to fraction form
    2,289.88/3,434.64 = 729.82/x
  3. Step 3: Cross multiply
    2,289.88x = 3,434.64 × 729.82
  4. Step 4: Simplify right side
    2,289.88x = 2,506,668.96
  5. Step 5: Solve for x
    x = 2,506,668.96/2,289.88
  6. Step 6: Final answer
    x = 1,094.67

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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.