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Finding the Fourth Proportional to 653.24, 979.76 and 214.49

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Solution

The fourth proportional to 653.24, 979.76 and 214.49 is: 321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 979.76 = 214.49 : x
  2. Step 2: Convert to fraction form
    653.24/979.76 = 214.49/x
  3. Step 3: Cross multiply
    653.24x = 979.76 × 214.49
  4. Step 4: Simplify right side
    653.24x = 210,142.75
  5. Step 5: Solve for x
    x = 210,142.75/653.24
  6. Step 6: Final answer
    x = 321.69

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.