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Finding the Fourth Proportional to 768.40, 1,152.60 and 460.60

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Solution

The fourth proportional to 768.40, 1,152.60 and 460.60 is: 690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.40 : 1,152.60 = 460.60 : x
  2. Step 2: Convert to fraction form
    768.40/1,152.60 = 460.60/x
  3. Step 3: Cross multiply
    768.40x = 1,152.60 × 460.60
  4. Step 4: Simplify right side
    768.40x = 530,887.56
  5. Step 5: Solve for x
    x = 530,887.56/768.40
  6. Step 6: Final answer
    x = 690.90

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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.