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Finding the Fourth Proportional to 653.16, 979.74 and 345.24

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Solution

The fourth proportional to 653.16, 979.74 and 345.24 is: 517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.16 : 979.74 = 345.24 : x
  2. Step 2: Convert to fraction form
    653.16/979.74 = 345.24/x
  3. Step 3: Cross multiply
    653.16x = 979.74 × 345.24
  4. Step 4: Simplify right side
    653.16x = 338,245.44
  5. Step 5: Solve for x
    x = 338,245.44/653.16
  6. Step 6: Final answer
    x = 517.86

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Double scale
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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.