Home / 1,731.89-2,598.24-499.31

Finding the Fourth Proportional to 1,731.89, 2,598.24 and 499.31

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Solution

The fourth proportional to 1,731.89, 2,598.24 and 499.31 is: 749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.89 : 2,598.24 = 499.31 : x
  2. Step 2: Convert to fraction form
    1,731.89/2,598.24 = 499.31/x
  3. Step 3: Cross multiply
    1,731.89x = 2,598.24 × 499.31
  4. Step 4: Simplify right side
    1,731.89x = 1,297,314.22
  5. Step 5: Solve for x
    x = 1,297,314.22/1,731.89
  6. Step 6: Final answer
    x = 749.08

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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.