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Finding the Fourth Proportional to 690.97, 953.08 and 494.59

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Solution

The fourth proportional to 690.97, 953.08 and 494.59 is: 682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.97 : 953.08 = 494.59 : x
  2. Step 2: Convert to fraction form
    690.97/953.08 = 494.59/x
  3. Step 3: Cross multiply
    690.97x = 953.08 × 494.59
  4. Step 4: Simplify right side
    690.97x = 471,383.84
  5. Step 5: Solve for x
    x = 471,383.84/690.97
  6. Step 6: Final answer
    x = 682.21

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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.