Home / 1,738.30-2,607.86-505.74

Finding the Fourth Proportional to 1,738.30, 2,607.86 and 505.74

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Solution

The fourth proportional to 1,738.30, 2,607.86 and 505.74 is: 758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.30 : 2,607.86 = 505.74 : x
  2. Step 2: Convert to fraction form
    1,738.30/2,607.86 = 505.74/x
  3. Step 3: Cross multiply
    1,738.30x = 2,607.86 × 505.74
  4. Step 4: Simplify right side
    1,738.30x = 1,318,899.12
  5. Step 5: Solve for x
    x = 1,318,899.12/1,738.30
  6. Step 6: Final answer
    x = 758.73

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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.