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Finding the Fourth Proportional to 753.28, 1,129.84 and 205.42

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Solution

The fourth proportional to 753.28, 1,129.84 and 205.42 is: 308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.28 : 1,129.84 = 205.42 : x
  2. Step 2: Convert to fraction form
    753.28/1,129.84 = 205.42/x
  3. Step 3: Cross multiply
    753.28x = 1,129.84 × 205.42
  4. Step 4: Simplify right side
    753.28x = 232,090.51
  5. Step 5: Solve for x
    x = 232,090.51/753.28
  6. Step 6: Final answer
    x = 308.11

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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.