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Finding the Fourth Proportional to 675.06, 1,011.57 and 414.37

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Solution

The fourth proportional to 675.06, 1,011.57 and 414.37 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.06 : 1,011.57 = 414.37 : x
  2. Step 2: Convert to fraction form
    675.06/1,011.57 = 414.37/x
  3. Step 3: Cross multiply
    675.06x = 1,011.57 × 414.37
  4. Step 4: Simplify right side
    675.06x = 419,164.26
  5. Step 5: Solve for x
    x = 419,164.26/675.06
  6. Step 6: Final answer
    x = 620.93

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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.