Home / 1,021.56-1,531.87-328.09

Finding the Fourth Proportional to 1,021.56, 1,531.87 and 328.09

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Solution

The fourth proportional to 1,021.56, 1,531.87 and 328.09 is: 491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.56 : 1,531.87 = 328.09 : x
  2. Step 2: Convert to fraction form
    1,021.56/1,531.87 = 328.09/x
  3. Step 3: Cross multiply
    1,021.56x = 1,531.87 × 328.09
  4. Step 4: Simplify right side
    1,021.56x = 502,591.23
  5. Step 5: Solve for x
    x = 502,591.23/1,021.56
  6. Step 6: Final answer
    x = 491.98

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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.