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Finding the Fourth Proportional to 817.84, 1,226.94 and 453.16

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Solution

The fourth proportional to 817.84, 1,226.94 and 453.16 is: 679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.84 : 1,226.94 = 453.16 : x
  2. Step 2: Convert to fraction form
    817.84/1,226.94 = 453.16/x
  3. Step 3: Cross multiply
    817.84x = 1,226.94 × 453.16
  4. Step 4: Simplify right side
    817.84x = 556,000.13
  5. Step 5: Solve for x
    x = 556,000.13/817.84
  6. Step 6: Final answer
    x = 679.84

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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.