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Finding the Fourth Proportional to 674.36, 929.63 and 474.56

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Solution

The fourth proportional to 674.36, 929.63 and 474.56 is: 654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.36 : 929.63 = 474.56 : x
  2. Step 2: Convert to fraction form
    674.36/929.63 = 474.56/x
  3. Step 3: Cross multiply
    674.36x = 929.63 × 474.56
  4. Step 4: Simplify right side
    674.36x = 441,161.75
  5. Step 5: Solve for x
    x = 441,161.75/674.36
  6. Step 6: Final answer
    x = 654.20

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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.