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Finding the Fourth Proportional to 769.37, 1,152.42 and 403.05

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Solution

The fourth proportional to 769.37, 1,152.42 and 403.05 is: 603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.37 : 1,152.42 = 403.05 : x
  2. Step 2: Convert to fraction form
    769.37/1,152.42 = 403.05/x
  3. Step 3: Cross multiply
    769.37x = 1,152.42 × 403.05
  4. Step 4: Simplify right side
    769.37x = 464,480.87
  5. Step 5: Solve for x
    x = 464,480.87/769.37
  6. Step 6: Final answer
    x = 603.72

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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.