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Finding the Fourth Proportional to 1,443.74, 2,165.51 and 403.80

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Solution

The fourth proportional to 1,443.74, 2,165.51 and 403.80 is: 605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.74 : 2,165.51 = 403.80 : x
  2. Step 2: Convert to fraction form
    1,443.74/2,165.51 = 403.80/x
  3. Step 3: Cross multiply
    1,443.74x = 2,165.51 × 403.80
  4. Step 4: Simplify right side
    1,443.74x = 874,430.92
  5. Step 5: Solve for x
    x = 874,430.92/1,443.74
  6. Step 6: Final answer
    x = 605.67

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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.