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Finding the Fourth Proportional to 655.04, 903.84 and 480.80

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Solution

The fourth proportional to 655.04, 903.84 and 480.80 is: 663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.04 : 903.84 = 480.80 : x
  2. Step 2: Convert to fraction form
    655.04/903.84 = 480.80/x
  3. Step 3: Cross multiply
    655.04x = 903.84 × 480.80
  4. Step 4: Simplify right side
    655.04x = 434,566.27
  5. Step 5: Solve for x
    x = 434,566.27/655.04
  6. Step 6: Final answer
    x = 663.42

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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.