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Finding the Fourth Proportional to 624.53, 936.80 and 277.78

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Solution

The fourth proportional to 624.53, 936.80 and 277.78 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.53 : 936.80 = 277.78 : x
  2. Step 2: Convert to fraction form
    624.53/936.80 = 277.78/x
  3. Step 3: Cross multiply
    624.53x = 936.80 × 277.78
  4. Step 4: Simplify right side
    624.53x = 260,218.23
  5. Step 5: Solve for x
    x = 260,218.23/624.53
  6. Step 6: Final answer
    x = 416.66

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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.