Home / 1,508.54-2,263.66-815.20

Finding the Fourth Proportional to 1,508.54, 2,263.66 and 815.20

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Solution

The fourth proportional to 1,508.54, 2,263.66 and 815.20 is: 1,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.54 : 2,263.66 = 815.20 : x
  2. Step 2: Convert to fraction form
    1,508.54/2,263.66 = 815.20/x
  3. Step 3: Cross multiply
    1,508.54x = 2,263.66 × 815.20
  4. Step 4: Simplify right side
    1,508.54x = 1,845,335.63
  5. Step 5: Solve for x
    x = 1,845,335.63/1,508.54
  6. Step 6: Final answer
    x = 1,223.26

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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.