Home / 1,738.53-2,607.23-505.59

Finding the Fourth Proportional to 1,738.53, 2,607.23 and 505.59

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Solution

The fourth proportional to 1,738.53, 2,607.23 and 505.59 is: 758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.53 : 2,607.23 = 505.59 : x
  2. Step 2: Convert to fraction form
    1,738.53/2,607.23 = 505.59/x
  3. Step 3: Cross multiply
    1,738.53x = 2,607.23 × 505.59
  4. Step 4: Simplify right side
    1,738.53x = 1,318,186.89
  5. Step 5: Solve for x
    x = 1,318,186.89/1,738.53
  6. Step 6: Final answer
    x = 758.22

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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.