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Finding the Fourth Proportional to 800.72, 1,200.42 and 454.64

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Solution

The fourth proportional to 800.72, 1,200.42 and 454.64 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.72 : 1,200.42 = 454.64 : x
  2. Step 2: Convert to fraction form
    800.72/1,200.42 = 454.64/x
  3. Step 3: Cross multiply
    800.72x = 1,200.42 × 454.64
  4. Step 4: Simplify right side
    800.72x = 545,758.95
  5. Step 5: Solve for x
    x = 545,758.95/800.72
  6. Step 6: Final answer
    x = 681.59

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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.