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Finding the Fourth Proportional to 482.43, 663.30 and 429.48

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Solution

The fourth proportional to 482.43, 663.30 and 429.48 is: 590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.43 : 663.30 = 429.48 : x
  2. Step 2: Convert to fraction form
    482.43/663.30 = 429.48/x
  3. Step 3: Cross multiply
    482.43x = 663.30 × 429.48
  4. Step 4: Simplify right side
    482.43x = 284,874.08
  5. Step 5: Solve for x
    x = 284,874.08/482.43
  6. Step 6: Final answer
    x = 590.50

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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.