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Finding the Fourth Proportional to 675.44, 1,011.56 and 431.22

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Solution

The fourth proportional to 675.44, 1,011.56 and 431.22 is: 645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.44 : 1,011.56 = 431.22 : x
  2. Step 2: Convert to fraction form
    675.44/1,011.56 = 431.22/x
  3. Step 3: Cross multiply
    675.44x = 1,011.56 × 431.22
  4. Step 4: Simplify right side
    675.44x = 436,203.83
  5. Step 5: Solve for x
    x = 436,203.83/675.44
  6. Step 6: Final answer
    x = 645.81

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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.