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Finding the Fourth Proportional to 484.38, 663.64 and 478.31

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Solution

The fourth proportional to 484.38, 663.64 and 478.31 is: 655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.38 : 663.64 = 478.31 : x
  2. Step 2: Convert to fraction form
    484.38/663.64 = 478.31/x
  3. Step 3: Cross multiply
    484.38x = 663.64 × 478.31
  4. Step 4: Simplify right side
    484.38x = 317,423.82
  5. Step 5: Solve for x
    x = 317,423.82/484.38
  6. Step 6: Final answer
    x = 655.32

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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.