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Finding the Fourth Proportional to 478.36, 659.46 and 374.68

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Solution

The fourth proportional to 478.36, 659.46 and 374.68 is: 516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.36 : 659.46 = 374.68 : x
  2. Step 2: Convert to fraction form
    478.36/659.46 = 374.68/x
  3. Step 3: Cross multiply
    478.36x = 659.46 × 374.68
  4. Step 4: Simplify right side
    478.36x = 247,086.47
  5. Step 5: Solve for x
    x = 247,086.47/478.36
  6. Step 6: Final answer
    x = 516.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.