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Finding the Fourth Proportional to 769.29, 1,151.58 and 621.67

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Solution

The fourth proportional to 769.29, 1,151.58 and 621.67 is: 930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.29 : 1,151.58 = 621.67 : x
  2. Step 2: Convert to fraction form
    769.29/1,151.58 = 621.67/x
  3. Step 3: Cross multiply
    769.29x = 1,151.58 × 621.67
  4. Step 4: Simplify right side
    769.29x = 715,902.74
  5. Step 5: Solve for x
    x = 715,902.74/769.29
  6. Step 6: Final answer
    x = 930.60

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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.