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Finding the Fourth Proportional to 663.84, 996.20 and 339.42

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Solution

The fourth proportional to 663.84, 996.20 and 339.42 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 996.20 = 339.42 : x
  2. Step 2: Convert to fraction form
    663.84/996.20 = 339.42/x
  3. Step 3: Cross multiply
    663.84x = 996.20 × 339.42
  4. Step 4: Simplify right side
    663.84x = 338,130.20
  5. Step 5: Solve for x
    x = 338,130.20/663.84
  6. Step 6: Final answer
    x = 509.35

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1.5x scale

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.