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Finding the Fourth Proportional to 624.94, 936.78 and 278.46

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Solution

The fourth proportional to 624.94, 936.78 and 278.46 is: 417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.94 : 936.78 = 278.46 : x
  2. Step 2: Convert to fraction form
    624.94/936.78 = 278.46/x
  3. Step 3: Cross multiply
    624.94x = 936.78 × 278.46
  4. Step 4: Simplify right side
    624.94x = 260,855.76
  5. Step 5: Solve for x
    x = 260,855.76/624.94
  6. Step 6: Final answer
    x = 417.41

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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.