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Finding the Fourth Proportional to 1,203.76, 1,806 and 815.32

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Solution

The fourth proportional to 1,203.76, 1,806 and 815.32 is: 1,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.76 : 1,806 = 815.32 : x
  2. Step 2: Convert to fraction form
    1,203.76/1,806 = 815.32/x
  3. Step 3: Cross multiply
    1,203.76x = 1,806 × 815.32
  4. Step 4: Simplify right side
    1,203.76x = 1,472,467.92
  5. Step 5: Solve for x
    x = 1,472,467.92/1,203.76
  6. Step 6: Final answer
    x = 1,223.22

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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.