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Finding the Fourth Proportional to 484.80, 664.48 and 478.08

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Solution

The fourth proportional to 484.80, 664.48 and 478.08 is: 655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.80 : 664.48 = 478.08 : x
  2. Step 2: Convert to fraction form
    484.80/664.48 = 478.08/x
  3. Step 3: Cross multiply
    484.80x = 664.48 × 478.08
  4. Step 4: Simplify right side
    484.80x = 317,674.60
  5. Step 5: Solve for x
    x = 317,674.60/484.80
  6. Step 6: Final answer
    x = 655.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.