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Finding the Fourth Proportional to 620.89, 932.41 and 457.99

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Solution

The fourth proportional to 620.89, 932.41 and 457.99 is: 687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.89 : 932.41 = 457.99 : x
  2. Step 2: Convert to fraction form
    620.89/932.41 = 457.99/x
  3. Step 3: Cross multiply
    620.89x = 932.41 × 457.99
  4. Step 4: Simplify right side
    620.89x = 427,034.46
  5. Step 5: Solve for x
    x = 427,034.46/620.89
  6. Step 6: Final answer
    x = 687.78

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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.