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Finding the Fourth Proportional to 495.16, 681.69 and 410.38

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Solution

The fourth proportional to 495.16, 681.69 and 410.38 is: 564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.16 : 681.69 = 410.38 : x
  2. Step 2: Convert to fraction form
    495.16/681.69 = 410.38/x
  3. Step 3: Cross multiply
    495.16x = 681.69 × 410.38
  4. Step 4: Simplify right side
    495.16x = 279,751.94
  5. Step 5: Solve for x
    x = 279,751.94/495.16
  6. Step 6: Final answer
    x = 564.97

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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.