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Finding the Fourth Proportional to 1,021.41, 1,532.24 and 396.72

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Solution

The fourth proportional to 1,021.41, 1,532.24 and 396.72 is: 595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.41 : 1,532.24 = 396.72 : x
  2. Step 2: Convert to fraction form
    1,021.41/1,532.24 = 396.72/x
  3. Step 3: Cross multiply
    1,021.41x = 1,532.24 × 396.72
  4. Step 4: Simplify right side
    1,021.41x = 607,862.59
  5. Step 5: Solve for x
    x = 607,862.59/1,021.41
  6. Step 6: Final answer
    x = 595.12

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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.