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Finding the Fourth Proportional to 817.71, 1,226.51 and 290.58

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Solution

The fourth proportional to 817.71, 1,226.51 and 290.58 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.71 : 1,226.51 = 290.58 : x
  2. Step 2: Convert to fraction form
    817.71/1,226.51 = 290.58/x
  3. Step 3: Cross multiply
    817.71x = 1,226.51 × 290.58
  4. Step 4: Simplify right side
    817.71x = 356,399.28
  5. Step 5: Solve for x
    x = 356,399.28/817.71
  6. Step 6: Final answer
    x = 435.85

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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.