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Finding the Fourth Proportional to 495.63, 683.37 and 442.62

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Solution

The fourth proportional to 495.63, 683.37 and 442.62 is: 610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.63 : 683.37 = 442.62 : x
  2. Step 2: Convert to fraction form
    495.63/683.37 = 442.62/x
  3. Step 3: Cross multiply
    495.63x = 683.37 × 442.62
  4. Step 4: Simplify right side
    495.63x = 302,473.23
  5. Step 5: Solve for x
    x = 302,473.23/495.63
  6. Step 6: Final answer
    x = 610.28

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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.