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Finding the Fourth Proportional to 1,021.14, 1,530.98 and 327.42

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Solution

The fourth proportional to 1,021.14, 1,530.98 and 327.42 is: 490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.14 : 1,530.98 = 327.42 : x
  2. Step 2: Convert to fraction form
    1,021.14/1,530.98 = 327.42/x
  3. Step 3: Cross multiply
    1,021.14x = 1,530.98 × 327.42
  4. Step 4: Simplify right side
    1,021.14x = 501,273.47
  5. Step 5: Solve for x
    x = 501,273.47/1,021.14
  6. Step 6: Final answer
    x = 490.90

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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.