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Finding the Fourth Proportional to 678.62, 936.02 and 574.68

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Solution

The fourth proportional to 678.62, 936.02 and 574.68 is: 792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.62 : 936.02 = 574.68 : x
  2. Step 2: Convert to fraction form
    678.62/936.02 = 574.68/x
  3. Step 3: Cross multiply
    678.62x = 936.02 × 574.68
  4. Step 4: Simplify right side
    678.62x = 537,911.97
  5. Step 5: Solve for x
    x = 537,911.97/678.62
  6. Step 6: Final answer
    x = 792.66

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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.