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Finding the Fourth Proportional to 951.90, 1,428.12 and 489.60

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Solution

The fourth proportional to 951.90, 1,428.12 and 489.60 is: 734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.90 : 1,428.12 = 489.60 : x
  2. Step 2: Convert to fraction form
    951.90/1,428.12 = 489.60/x
  3. Step 3: Cross multiply
    951.90x = 1,428.12 × 489.60
  4. Step 4: Simplify right side
    951.90x = 699,207.55
  5. Step 5: Solve for x
    x = 699,207.55/951.90
  6. Step 6: Final answer
    x = 734.54

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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.