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Finding the Fourth Proportional to 515.32, 769.02 and 460.64

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Solution

The fourth proportional to 515.32, 769.02 and 460.64 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.32 : 769.02 = 460.64 : x
  2. Step 2: Convert to fraction form
    515.32/769.02 = 460.64/x
  3. Step 3: Cross multiply
    515.32x = 769.02 × 460.64
  4. Step 4: Simplify right side
    515.32x = 354,241.37
  5. Step 5: Solve for x
    x = 354,241.37/515.32
  6. Step 6: Final answer
    x = 687.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.