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Finding the Fourth Proportional to 1,341, 2,012.31 and 571.50

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Solution

The fourth proportional to 1,341, 2,012.31 and 571.50 is: 857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341 : 2,012.31 = 571.50 : x
  2. Step 2: Convert to fraction form
    1,341/2,012.31 = 571.50/x
  3. Step 3: Cross multiply
    1,341x = 2,012.31 × 571.50
  4. Step 4: Simplify right side
    1,341x = 1,150,035.17
  5. Step 5: Solve for x
    x = 1,150,035.17/1,341
  6. Step 6: Final answer
    x = 857.60

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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.