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Finding the Fourth Proportional to 495.56, 680.61 and 412.53

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Solution

The fourth proportional to 495.56, 680.61 and 412.53 is: 566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.56 : 680.61 = 412.53 : x
  2. Step 2: Convert to fraction form
    495.56/680.61 = 412.53/x
  3. Step 3: Cross multiply
    495.56x = 680.61 × 412.53
  4. Step 4: Simplify right side
    495.56x = 280,772.04
  5. Step 5: Solve for x
    x = 280,772.04/495.56
  6. Step 6: Final answer
    x = 566.58

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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.