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Finding the Fourth Proportional to 817.24, 1,226.40 and 432.76

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Solution

The fourth proportional to 817.24, 1,226.40 and 432.76 is: 649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.24 : 1,226.40 = 432.76 : x
  2. Step 2: Convert to fraction form
    817.24/1,226.40 = 432.76/x
  3. Step 3: Cross multiply
    817.24x = 1,226.40 × 432.76
  4. Step 4: Simplify right side
    817.24x = 530,736.86
  5. Step 5: Solve for x
    x = 530,736.86/817.24
  6. Step 6: Final answer
    x = 649.43

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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.