Home / 1,731.24-2,597.24-498.66

Finding the Fourth Proportional to 1,731.24, 2,597.24 and 498.66

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Solution

The fourth proportional to 1,731.24, 2,597.24 and 498.66 is: 748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.24 : 2,597.24 = 498.66 : x
  2. Step 2: Convert to fraction form
    1,731.24/2,597.24 = 498.66/x
  3. Step 3: Cross multiply
    1,731.24x = 2,597.24 × 498.66
  4. Step 4: Simplify right side
    1,731.24x = 1,295,139.70
  5. Step 5: Solve for x
    x = 1,295,139.70/1,731.24
  6. Step 6: Final answer
    x = 748.10

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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.