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Finding the Fourth Proportional to 1,123.48, 1,549.96 and 828.64

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Solution

The fourth proportional to 1,123.48, 1,549.96 and 828.64 is: 1,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.48 : 1,549.96 = 828.64 : x
  2. Step 2: Convert to fraction form
    1,123.48/1,549.96 = 828.64/x
  3. Step 3: Cross multiply
    1,123.48x = 1,549.96 × 828.64
  4. Step 4: Simplify right side
    1,123.48x = 1,284,358.85
  5. Step 5: Solve for x
    x = 1,284,358.85/1,123.48
  6. Step 6: Final answer
    x = 1,143.20

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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.