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Finding the Fourth Proportional to 689.14, 951.04 and 493.12

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Solution

The fourth proportional to 689.14, 951.04 and 493.12 is: 680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.14 : 951.04 = 493.12 : x
  2. Step 2: Convert to fraction form
    689.14/951.04 = 493.12/x
  3. Step 3: Cross multiply
    689.14x = 951.04 × 493.12
  4. Step 4: Simplify right side
    689.14x = 468,976.84
  5. Step 5: Solve for x
    x = 468,976.84/689.14
  6. Step 6: Final answer
    x = 680.52

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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.