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Finding the Fourth Proportional to 1,600.79, 2,401.20 and 505.27

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Solution

The fourth proportional to 1,600.79, 2,401.20 and 505.27 is: 757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.79 : 2,401.20 = 505.27 : x
  2. Step 2: Convert to fraction form
    1,600.79/2,401.20 = 505.27/x
  3. Step 3: Cross multiply
    1,600.79x = 2,401.20 × 505.27
  4. Step 4: Simplify right side
    1,600.79x = 1,213,248.32
  5. Step 5: Solve for x
    x = 1,213,248.32/1,600.79
  6. Step 6: Final answer
    x = 757.90

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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.