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Finding the Fourth Proportional to 675.42, 1,013.16 and 494.94

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Solution

The fourth proportional to 675.42, 1,013.16 and 494.94 is: 742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 1,013.16 = 494.94 : x
  2. Step 2: Convert to fraction form
    675.42/1,013.16 = 494.94/x
  3. Step 3: Cross multiply
    675.42x = 1,013.16 × 494.94
  4. Step 4: Simplify right side
    675.42x = 501,453.41
  5. Step 5: Solve for x
    x = 501,453.41/675.42
  6. Step 6: Final answer
    x = 742.43

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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.