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Finding the Fourth Proportional to 454.77, 680.81 and 339.72

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Solution

The fourth proportional to 454.77, 680.81 and 339.72 is: 508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.77 : 680.81 = 339.72 : x
  2. Step 2: Convert to fraction form
    454.77/680.81 = 339.72/x
  3. Step 3: Cross multiply
    454.77x = 680.81 × 339.72
  4. Step 4: Simplify right side
    454.77x = 231,284.77
  5. Step 5: Solve for x
    x = 231,284.77/454.77
  6. Step 6: Final answer
    x = 508.58

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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.