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Finding the Fourth Proportional to 459.40, 687.60 and 412.96

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Solution

The fourth proportional to 459.40, 687.60 and 412.96 is: 618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.40 : 687.60 = 412.96 : x
  2. Step 2: Convert to fraction form
    459.40/687.60 = 412.96/x
  3. Step 3: Cross multiply
    459.40x = 687.60 × 412.96
  4. Step 4: Simplify right side
    459.40x = 283,951.30
  5. Step 5: Solve for x
    x = 283,951.30/459.40
  6. Step 6: Final answer
    x = 618.09

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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.