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Finding the Fourth Proportional to 690.14, 952.42 and 494.12

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Solution

The fourth proportional to 690.14, 952.42 and 494.12 is: 681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.14 : 952.42 = 494.12 : x
  2. Step 2: Convert to fraction form
    690.14/952.42 = 494.12/x
  3. Step 3: Cross multiply
    690.14x = 952.42 × 494.12
  4. Step 4: Simplify right side
    690.14x = 470,609.77
  5. Step 5: Solve for x
    x = 470,609.77/690.14
  6. Step 6: Final answer
    x = 681.90

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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.