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Finding the Fourth Proportional to 674.23, 1,011.16 and 478.65

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Solution

The fourth proportional to 674.23, 1,011.16 and 478.65 is: 717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.23 : 1,011.16 = 478.65 : x
  2. Step 2: Convert to fraction form
    674.23/1,011.16 = 478.65/x
  3. Step 3: Cross multiply
    674.23x = 1,011.16 × 478.65
  4. Step 4: Simplify right side
    674.23x = 483,991.73
  5. Step 5: Solve for x
    x = 483,991.73/674.23
  6. Step 6: Final answer
    x = 717.84

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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.