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Finding the Fourth Proportional to 534.77, 800.81 and 447.89

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Solution

The fourth proportional to 534.77, 800.81 and 447.89 is: 670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.77 : 800.81 = 447.89 : x
  2. Step 2: Convert to fraction form
    534.77/800.81 = 447.89/x
  3. Step 3: Cross multiply
    534.77x = 800.81 × 447.89
  4. Step 4: Simplify right side
    534.77x = 358,672.55
  5. Step 5: Solve for x
    x = 358,672.55/534.77
  6. Step 6: Final answer
    x = 670.70

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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.