Home / 1,290.74-1,936.58-510.30

Finding the Fourth Proportional to 1,290.74, 1,936.58 and 510.30

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Solution

The fourth proportional to 1,290.74, 1,936.58 and 510.30 is: 765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.74 : 1,936.58 = 510.30 : x
  2. Step 2: Convert to fraction form
    1,290.74/1,936.58 = 510.30/x
  3. Step 3: Cross multiply
    1,290.74x = 1,936.58 × 510.30
  4. Step 4: Simplify right side
    1,290.74x = 988,234.22
  5. Step 5: Solve for x
    x = 988,234.22/1,290.74
  6. Step 6: Final answer
    x = 765.64

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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.