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Finding the Fourth Proportional to 1,423.53, 2,135.93 and 730.67

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Solution

The fourth proportional to 1,423.53, 2,135.93 and 730.67 is: 1,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.53 : 2,135.93 = 730.67 : x
  2. Step 2: Convert to fraction form
    1,423.53/2,135.93 = 730.67/x
  3. Step 3: Cross multiply
    1,423.53x = 2,135.93 × 730.67
  4. Step 4: Simplify right side
    1,423.53x = 1,560,645.64
  5. Step 5: Solve for x
    x = 1,560,645.64/1,423.53
  6. Step 6: Final answer
    x = 1,096.32

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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.