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Finding the Fourth Proportional to 768.42, 1,152.78 and 459.90

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Solution

The fourth proportional to 768.42, 1,152.78 and 459.90 is: 689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.42 : 1,152.78 = 459.90 : x
  2. Step 2: Convert to fraction form
    768.42/1,152.78 = 459.90/x
  3. Step 3: Cross multiply
    768.42x = 1,152.78 × 459.90
  4. Step 4: Simplify right side
    768.42x = 530,163.52
  5. Step 5: Solve for x
    x = 530,163.52/768.42
  6. Step 6: Final answer
    x = 689.94

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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.