Home / 1,731.37-2,596.66-498.51

Finding the Fourth Proportional to 1,731.37, 2,596.66 and 498.51

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Solution

The fourth proportional to 1,731.37, 2,596.66 and 498.51 is: 747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.37 : 2,596.66 = 498.51 : x
  2. Step 2: Convert to fraction form
    1,731.37/2,596.66 = 498.51/x
  3. Step 3: Cross multiply
    1,731.37x = 2,596.66 × 498.51
  4. Step 4: Simplify right side
    1,731.37x = 1,294,460.98
  5. Step 5: Solve for x
    x = 1,294,460.98/1,731.37
  6. Step 6: Final answer
    x = 747.65

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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.