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Finding the Fourth Proportional to 620.87, 929.93 and 447.02

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Solution

The fourth proportional to 620.87, 929.93 and 447.02 is: 669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.87 : 929.93 = 447.02 : x
  2. Step 2: Convert to fraction form
    620.87/929.93 = 447.02/x
  3. Step 3: Cross multiply
    620.87x = 929.93 × 447.02
  4. Step 4: Simplify right side
    620.87x = 415,697.31
  5. Step 5: Solve for x
    x = 415,697.31/620.87
  6. Step 6: Final answer
    x = 669.54

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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.