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Finding the Fourth Proportional to 674.82, 928.83 and 477.99

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Solution

The fourth proportional to 674.82, 928.83 and 477.99 is: 657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.82 : 928.83 = 477.99 : x
  2. Step 2: Convert to fraction form
    674.82/928.83 = 477.99/x
  3. Step 3: Cross multiply
    674.82x = 928.83 × 477.99
  4. Step 4: Simplify right side
    674.82x = 443,964.42
  5. Step 5: Solve for x
    x = 443,964.42/674.82
  6. Step 6: Final answer
    x = 657.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.