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Finding the Fourth Proportional to 656.39, 905.79 and 372.80

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Solution

The fourth proportional to 656.39, 905.79 and 372.80 is: 514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.39 : 905.79 = 372.80 : x
  2. Step 2: Convert to fraction form
    656.39/905.79 = 372.80/x
  3. Step 3: Cross multiply
    656.39x = 905.79 × 372.80
  4. Step 4: Simplify right side
    656.39x = 337,673.98
  5. Step 5: Solve for x
    x = 337,673.98/656.39
  6. Step 6: Final answer
    x = 514.45

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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.