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Finding the Fourth Proportional to 1,021.25, 1,530.97 and 371.84

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Solution

The fourth proportional to 1,021.25, 1,530.97 and 371.84 is: 557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.25 : 1,530.97 = 371.84 : x
  2. Step 2: Convert to fraction form
    1,021.25/1,530.97 = 371.84/x
  3. Step 3: Cross multiply
    1,021.25x = 1,530.97 × 371.84
  4. Step 4: Simplify right side
    1,021.25x = 569,275.88
  5. Step 5: Solve for x
    x = 569,275.88/1,021.25
  6. Step 6: Final answer
    x = 557.43

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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.