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Finding the Fourth Proportional to 653.80, 979.44 and 423.04

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Solution

The fourth proportional to 653.80, 979.44 and 423.04 is: 633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 979.44 = 423.04 : x
  2. Step 2: Convert to fraction form
    653.80/979.44 = 423.04/x
  3. Step 3: Cross multiply
    653.80x = 979.44 × 423.04
  4. Step 4: Simplify right side
    653.80x = 414,342.30
  5. Step 5: Solve for x
    x = 414,342.30/653.80
  6. Step 6: Final answer
    x = 633.74

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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.