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Finding the Fourth Proportional to 1,446.55, 2,168.55 and 521.89

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Solution

The fourth proportional to 1,446.55, 2,168.55 and 521.89 is: 782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.55 : 2,168.55 = 521.89 : x
  2. Step 2: Convert to fraction form
    1,446.55/2,168.55 = 521.89/x
  3. Step 3: Cross multiply
    1,446.55x = 2,168.55 × 521.89
  4. Step 4: Simplify right side
    1,446.55x = 1,131,744.56
  5. Step 5: Solve for x
    x = 1,131,744.56/1,446.55
  6. Step 6: Final answer
    x = 782.38

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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.