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Finding the Fourth Proportional to 655.49, 980.81 and 470.41

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Solution

The fourth proportional to 655.49, 980.81 and 470.41 is: 703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.49 : 980.81 = 470.41 : x
  2. Step 2: Convert to fraction form
    655.49/980.81 = 470.41/x
  3. Step 3: Cross multiply
    655.49x = 980.81 × 470.41
  4. Step 4: Simplify right side
    655.49x = 461,379.79
  5. Step 5: Solve for x
    x = 461,379.79/655.49
  6. Step 6: Final answer
    x = 703.87

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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.