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Finding the Fourth Proportional to 951.66, 1,428.18 and 489.81

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Solution

The fourth proportional to 951.66, 1,428.18 and 489.81 is: 735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.66 : 1,428.18 = 489.81 : x
  2. Step 2: Convert to fraction form
    951.66/1,428.18 = 489.81/x
  3. Step 3: Cross multiply
    951.66x = 1,428.18 × 489.81
  4. Step 4: Simplify right side
    951.66x = 699,536.85
  5. Step 5: Solve for x
    x = 699,536.85/951.66
  6. Step 6: Final answer
    x = 735.07

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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.