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Finding the Fourth Proportional to 1,443.85, 2,165.76 and 456.66

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Solution

The fourth proportional to 1,443.85, 2,165.76 and 456.66 is: 684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.85 : 2,165.76 = 456.66 : x
  2. Step 2: Convert to fraction form
    1,443.85/2,165.76 = 456.66/x
  3. Step 3: Cross multiply
    1,443.85x = 2,165.76 × 456.66
  4. Step 4: Simplify right side
    1,443.85x = 989,015.96
  5. Step 5: Solve for x
    x = 989,015.96/1,443.85
  6. Step 6: Final answer
    x = 684.99

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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.