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Finding the Fourth Proportional to 455.12, 679.54 and 450.50

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Solution

The fourth proportional to 455.12, 679.54 and 450.50 is: 672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.12 : 679.54 = 450.50 : x
  2. Step 2: Convert to fraction form
    455.12/679.54 = 450.50/x
  3. Step 3: Cross multiply
    455.12x = 679.54 × 450.50
  4. Step 4: Simplify right side
    455.12x = 306,132.77
  5. Step 5: Solve for x
    x = 306,132.77/455.12
  6. Step 6: Final answer
    x = 672.64

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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.