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Finding the Fourth Proportional to 465.80, 642.03 and 372.25

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Solution

The fourth proportional to 465.80, 642.03 and 372.25 is: 513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 642.03 = 372.25 : x
  2. Step 2: Convert to fraction form
    465.80/642.03 = 372.25/x
  3. Step 3: Cross multiply
    465.80x = 642.03 × 372.25
  4. Step 4: Simplify right side
    465.80x = 238,995.67
  5. Step 5: Solve for x
    x = 238,995.67/465.80
  6. Step 6: Final answer
    x = 513.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.