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Finding the Fourth Proportional to 903.63, 1,245.60 and 828.30

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Solution

The fourth proportional to 903.63, 1,245.60 and 828.30 is: 1,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.63 : 1,245.60 = 828.30 : x
  2. Step 2: Convert to fraction form
    903.63/1,245.60 = 828.30/x
  3. Step 3: Cross multiply
    903.63x = 1,245.60 × 828.30
  4. Step 4: Simplify right side
    903.63x = 1,031,730.48
  5. Step 5: Solve for x
    x = 1,031,730.48/903.63
  6. Step 6: Final answer
    x = 1,141.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.