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Finding the Fourth Proportional to 674.19, 930.04 and 477.36

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Solution

The fourth proportional to 674.19, 930.04 and 477.36 is: 658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.19 : 930.04 = 477.36 : x
  2. Step 2: Convert to fraction form
    674.19/930.04 = 477.36/x
  3. Step 3: Cross multiply
    674.19x = 930.04 × 477.36
  4. Step 4: Simplify right side
    674.19x = 443,956.86
  5. Step 5: Solve for x
    x = 443,956.86/674.19
  6. Step 6: Final answer
    x = 658.51

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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.