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Finding the Fourth Proportional to 495.77, 682.60 and 420.92

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Solution

The fourth proportional to 495.77, 682.60 and 420.92 is: 579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.77 : 682.60 = 420.92 : x
  2. Step 2: Convert to fraction form
    495.77/682.60 = 420.92/x
  3. Step 3: Cross multiply
    495.77x = 682.60 × 420.92
  4. Step 4: Simplify right side
    495.77x = 287,323.50
  5. Step 5: Solve for x
    x = 287,323.50/495.77
  6. Step 6: Final answer
    x = 579.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.