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Finding the Fourth Proportional to 1,738.79, 2,604.87 and 1,505.24

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Solution

The fourth proportional to 1,738.79, 2,604.87 and 1,505.24 is: 2,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.79 : 2,604.87 = 1,505.24 : x
  2. Step 2: Convert to fraction form
    1,738.79/2,604.87 = 1,505.24/x
  3. Step 3: Cross multiply
    1,738.79x = 2,604.87 × 1,505.24
  4. Step 4: Simplify right side
    1,738.79x = 3,920,941.49
  5. Step 5: Solve for x
    x = 3,920,941.49/1,738.79
  6. Step 6: Final answer
    x = 2,254.99

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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.