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Finding the Fourth Proportional to 1,403.65, 2,105.31 and 623.67

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Solution

The fourth proportional to 1,403.65, 2,105.31 and 623.67 is: 935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.65 : 2,105.31 = 623.67 : x
  2. Step 2: Convert to fraction form
    1,403.65/2,105.31 = 623.67/x
  3. Step 3: Cross multiply
    1,403.65x = 2,105.31 × 623.67
  4. Step 4: Simplify right side
    1,403.65x = 1,313,018.69
  5. Step 5: Solve for x
    x = 1,313,018.69/1,403.65
  6. Step 6: Final answer
    x = 935.43

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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.