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Finding the Fourth Proportional to 674.29, 1,011.21 and 414.28

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Solution

The fourth proportional to 674.29, 1,011.21 and 414.28 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.29 : 1,011.21 = 414.28 : x
  2. Step 2: Convert to fraction form
    674.29/1,011.21 = 414.28/x
  3. Step 3: Cross multiply
    674.29x = 1,011.21 × 414.28
  4. Step 4: Simplify right side
    674.29x = 418,924.08
  5. Step 5: Solve for x
    x = 418,924.08/674.29
  6. Step 6: Final answer
    x = 621.28

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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.