Home / 1,297.70-1,946.26-517.56

Finding the Fourth Proportional to 1,297.70, 1,946.26 and 517.56

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Solution

The fourth proportional to 1,297.70, 1,946.26 and 517.56 is: 776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.70 : 1,946.26 = 517.56 : x
  2. Step 2: Convert to fraction form
    1,297.70/1,946.26 = 517.56/x
  3. Step 3: Cross multiply
    1,297.70x = 1,946.26 × 517.56
  4. Step 4: Simplify right side
    1,297.70x = 1,007,299.67
  5. Step 5: Solve for x
    x = 1,007,299.67/1,297.70
  6. Step 6: Final answer
    x = 776.22

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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.