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Finding the Fourth Proportional to 689.70, 952.02 and 493.42

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Solution

The fourth proportional to 689.70, 952.02 and 493.42 is: 681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.70 : 952.02 = 493.42 : x
  2. Step 2: Convert to fraction form
    689.70/952.02 = 493.42/x
  3. Step 3: Cross multiply
    689.70x = 952.02 × 493.42
  4. Step 4: Simplify right side
    689.70x = 469,745.71
  5. Step 5: Solve for x
    x = 469,745.71/689.70
  6. Step 6: Final answer
    x = 681.09

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Double scale
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1.5x scale

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.