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Finding the Fourth Proportional to 1,301.76, 1,798.24 and 1,204.48

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Solution

The fourth proportional to 1,301.76, 1,798.24 and 1,204.48 is: 1,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.76 : 1,798.24 = 1,204.48 : x
  2. Step 2: Convert to fraction form
    1,301.76/1,798.24 = 1,204.48/x
  3. Step 3: Cross multiply
    1,301.76x = 1,798.24 × 1,204.48
  4. Step 4: Simplify right side
    1,301.76x = 2,165,944.12
  5. Step 5: Solve for x
    x = 2,165,944.12/1,301.76
  6. Step 6: Final answer
    x = 1,663.86

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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.