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Finding the Fourth Proportional to 454.84, 682.56 and 339.41

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Solution

The fourth proportional to 454.84, 682.56 and 339.41 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.84 : 682.56 = 339.41 : x
  2. Step 2: Convert to fraction form
    454.84/682.56 = 339.41/x
  3. Step 3: Cross multiply
    454.84x = 682.56 × 339.41
  4. Step 4: Simplify right side
    454.84x = 231,669.40
  5. Step 5: Solve for x
    x = 231,669.40/454.84
  6. Step 6: Final answer
    x = 509.35

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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.