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Finding the Fourth Proportional to 769.48, 1,152.85 and 440.41

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Solution

The fourth proportional to 769.48, 1,152.85 and 440.41 is: 659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.48 : 1,152.85 = 440.41 : x
  2. Step 2: Convert to fraction form
    769.48/1,152.85 = 440.41/x
  3. Step 3: Cross multiply
    769.48x = 1,152.85 × 440.41
  4. Step 4: Simplify right side
    769.48x = 507,722.01
  5. Step 5: Solve for x
    x = 507,722.01/769.48
  6. Step 6: Final answer
    x = 659.82

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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.