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Finding the Fourth Proportional to 489.28, 675.14 and 292.75

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Solution

The fourth proportional to 489.28, 675.14 and 292.75 is: 403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.28 : 675.14 = 292.75 : x
  2. Step 2: Convert to fraction form
    489.28/675.14 = 292.75/x
  3. Step 3: Cross multiply
    489.28x = 675.14 × 292.75
  4. Step 4: Simplify right side
    489.28x = 197,647.24
  5. Step 5: Solve for x
    x = 197,647.24/489.28
  6. Step 6: Final answer
    x = 403.96

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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.