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Finding the Fourth Proportional to 817.50, 1,226.61 and 432.66

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Solution

The fourth proportional to 817.50, 1,226.61 and 432.66 is: 649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.50 : 1,226.61 = 432.66 : x
  2. Step 2: Convert to fraction form
    817.50/1,226.61 = 432.66/x
  3. Step 3: Cross multiply
    817.50x = 1,226.61 × 432.66
  4. Step 4: Simplify right side
    817.50x = 530,705.08
  5. Step 5: Solve for x
    x = 530,705.08/817.50
  6. Step 6: Final answer
    x = 649.18

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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.