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Finding the Fourth Proportional to 768.35, 1,152.80 and 460.42

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Solution

The fourth proportional to 768.35, 1,152.80 and 460.42 is: 690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.35 : 1,152.80 = 460.42 : x
  2. Step 2: Convert to fraction form
    768.35/1,152.80 = 460.42/x
  3. Step 3: Cross multiply
    768.35x = 1,152.80 × 460.42
  4. Step 4: Simplify right side
    768.35x = 530,770.45
  5. Step 5: Solve for x
    x = 530,770.45/768.35
  6. Step 6: Final answer
    x = 690.80

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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.