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Finding the Fourth Proportional to 653.87, 982.02 and 437.60

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Solution

The fourth proportional to 653.87, 982.02 and 437.60 is: 657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.87 : 982.02 = 437.60 : x
  2. Step 2: Convert to fraction form
    653.87/982.02 = 437.60/x
  3. Step 3: Cross multiply
    653.87x = 982.02 × 437.60
  4. Step 4: Simplify right side
    653.87x = 429,736.05
  5. Step 5: Solve for x
    x = 429,736.05/653.87
  6. Step 6: Final answer
    x = 657.22

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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.