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Finding the Fourth Proportional to 675.31, 1,013.78 and 403.15

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Solution

The fourth proportional to 675.31, 1,013.78 and 403.15 is: 605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.31 : 1,013.78 = 403.15 : x
  2. Step 2: Convert to fraction form
    675.31/1,013.78 = 403.15/x
  3. Step 3: Cross multiply
    675.31x = 1,013.78 × 403.15
  4. Step 4: Simplify right side
    675.31x = 408,705.41
  5. Step 5: Solve for x
    x = 408,705.41/675.31
  6. Step 6: Final answer
    x = 605.21

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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.