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Finding the Fourth Proportional to 653.80, 979.62 and 461.02

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Solution

The fourth proportional to 653.80, 979.62 and 461.02 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 979.62 = 461.02 : x
  2. Step 2: Convert to fraction form
    653.80/979.62 = 461.02/x
  3. Step 3: Cross multiply
    653.80x = 979.62 × 461.02
  4. Step 4: Simplify right side
    653.80x = 451,624.41
  5. Step 5: Solve for x
    x = 451,624.41/653.80
  6. Step 6: Final answer
    x = 690.77

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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.