Home / 1,497.30-2,245.26-829.76

Finding the Fourth Proportional to 1,497.30, 2,245.26 and 829.76

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Solution

The fourth proportional to 1,497.30, 2,245.26 and 829.76 is: 1,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.30 : 2,245.26 = 829.76 : x
  2. Step 2: Convert to fraction form
    1,497.30/2,245.26 = 829.76/x
  3. Step 3: Cross multiply
    1,497.30x = 2,245.26 × 829.76
  4. Step 4: Simplify right side
    1,497.30x = 1,863,015.71
  5. Step 5: Solve for x
    x = 1,863,015.71/1,497.30
  6. Step 6: Final answer
    x = 1,244.25

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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.