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Finding the Fourth Proportional to 675.31, 1,010.67 and 415.47

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Solution

The fourth proportional to 675.31, 1,010.67 and 415.47 is: 621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.31 : 1,010.67 = 415.47 : x
  2. Step 2: Convert to fraction form
    675.31/1,010.67 = 415.47/x
  3. Step 3: Cross multiply
    675.31x = 1,010.67 × 415.47
  4. Step 4: Simplify right side
    675.31x = 419,900.78
  5. Step 5: Solve for x
    x = 419,900.78/675.31
  6. Step 6: Final answer
    x = 621.79

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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.