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Finding the Fourth Proportional to 1,420.81, 2,131.36 and 446.83

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Solution

The fourth proportional to 1,420.81, 2,131.36 and 446.83 is: 670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.81 : 2,131.36 = 446.83 : x
  2. Step 2: Convert to fraction form
    1,420.81/2,131.36 = 446.83/x
  3. Step 3: Cross multiply
    1,420.81x = 2,131.36 × 446.83
  4. Step 4: Simplify right side
    1,420.81x = 952,363.65
  5. Step 5: Solve for x
    x = 952,363.65/1,420.81
  6. Step 6: Final answer
    x = 670.30

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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.