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Finding the Fourth Proportional to 455.52, 678.72 and 453.60

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Solution

The fourth proportional to 455.52, 678.72 and 453.60 is: 675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.52 : 678.72 = 453.60 : x
  2. Step 2: Convert to fraction form
    455.52/678.72 = 453.60/x
  3. Step 3: Cross multiply
    455.52x = 678.72 × 453.60
  4. Step 4: Simplify right side
    455.52x = 307,867.39
  5. Step 5: Solve for x
    x = 307,867.39/455.52
  6. Step 6: Final answer
    x = 675.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.