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Finding the Fourth Proportional to 1,021.91, 1,532.85 and 328.55

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Solution

The fourth proportional to 1,021.91, 1,532.85 and 328.55 is: 492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.91 : 1,532.85 = 328.55 : x
  2. Step 2: Convert to fraction form
    1,021.91/1,532.85 = 328.55/x
  3. Step 3: Cross multiply
    1,021.91x = 1,532.85 × 328.55
  4. Step 4: Simplify right side
    1,021.91x = 503,610.20
  5. Step 5: Solve for x
    x = 503,610.20/1,021.91
  6. Step 6: Final answer
    x = 492.82

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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.