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Finding the Fourth Proportional to 453.52, 678.56 and 277.87

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Solution

The fourth proportional to 453.52, 678.56 and 277.87 is: 415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 678.56 = 277.87 : x
  2. Step 2: Convert to fraction form
    453.52/678.56 = 277.87/x
  3. Step 3: Cross multiply
    453.52x = 678.56 × 277.87
  4. Step 4: Simplify right side
    453.52x = 188,551.47
  5. Step 5: Solve for x
    x = 188,551.47/453.52
  6. Step 6: Final answer
    x = 415.75

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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.