Home / 1,509.82-2,263.30-815.44

Finding the Fourth Proportional to 1,509.82, 2,263.30 and 815.44

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Solution

The fourth proportional to 1,509.82, 2,263.30 and 815.44 is: 1,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.82 : 2,263.30 = 815.44 : x
  2. Step 2: Convert to fraction form
    1,509.82/2,263.30 = 815.44/x
  3. Step 3: Cross multiply
    1,509.82x = 2,263.30 × 815.44
  4. Step 4: Simplify right side
    1,509.82x = 1,845,585.35
  5. Step 5: Solve for x
    x = 1,845,585.35/1,509.82
  6. Step 6: Final answer
    x = 1,222.39

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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.