Home / 1,290.41-1,934.85-509.49

Finding the Fourth Proportional to 1,290.41, 1,934.85 and 509.49

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Solution

The fourth proportional to 1,290.41, 1,934.85 and 509.49 is: 763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.41 : 1,934.85 = 509.49 : x
  2. Step 2: Convert to fraction form
    1,290.41/1,934.85 = 509.49/x
  3. Step 3: Cross multiply
    1,290.41x = 1,934.85 × 509.49
  4. Step 4: Simplify right side
    1,290.41x = 985,786.73
  5. Step 5: Solve for x
    x = 985,786.73/1,290.41
  6. Step 6: Final answer
    x = 763.93

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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.