Home / 1,731.78-2,597.66-499.20

Finding the Fourth Proportional to 1,731.78, 2,597.66 and 499.20

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Solution

The fourth proportional to 1,731.78, 2,597.66 and 499.20 is: 748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.78 : 2,597.66 = 499.20 : x
  2. Step 2: Convert to fraction form
    1,731.78/2,597.66 = 499.20/x
  3. Step 3: Cross multiply
    1,731.78x = 2,597.66 × 499.20
  4. Step 4: Simplify right side
    1,731.78x = 1,296,751.87
  5. Step 5: Solve for x
    x = 1,296,751.87/1,731.78
  6. Step 6: Final answer
    x = 748.80

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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.