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Finding the Fourth Proportional to 434.90, 651.71 and 280.73

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Solution

The fourth proportional to 434.90, 651.71 and 280.73 is: 420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.90 : 651.71 = 280.73 : x
  2. Step 2: Convert to fraction form
    434.90/651.71 = 280.73/x
  3. Step 3: Cross multiply
    434.90x = 651.71 × 280.73
  4. Step 4: Simplify right side
    434.90x = 182,956.88
  5. Step 5: Solve for x
    x = 182,956.88/434.90
  6. Step 6: Final answer
    x = 420.68

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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.