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Finding the Fourth Proportional to 678.60, 936.50 and 457.80

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Solution

The fourth proportional to 678.60, 936.50 and 457.80 is: 631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.60 : 936.50 = 457.80 : x
  2. Step 2: Convert to fraction form
    678.60/936.50 = 457.80/x
  3. Step 3: Cross multiply
    678.60x = 936.50 × 457.80
  4. Step 4: Simplify right side
    678.60x = 428,729.70
  5. Step 5: Solve for x
    x = 428,729.70/678.60
  6. Step 6: Final answer
    x = 631.79

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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.