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Finding the Fourth Proportional to 495.39, 681.17 and 442.61

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Solution

The fourth proportional to 495.39, 681.17 and 442.61 is: 608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.39 : 681.17 = 442.61 : x
  2. Step 2: Convert to fraction form
    495.39/681.17 = 442.61/x
  3. Step 3: Cross multiply
    495.39x = 681.17 × 442.61
  4. Step 4: Simplify right side
    495.39x = 301,487.03
  5. Step 5: Solve for x
    x = 301,487.03/495.39
  6. Step 6: Final answer
    x = 608.59

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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.