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Finding the Fourth Proportional to 817.13, 1,223.57 and 451.42

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Solution

The fourth proportional to 817.13, 1,223.57 and 451.42 is: 675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.13 : 1,223.57 = 451.42 : x
  2. Step 2: Convert to fraction form
    817.13/1,223.57 = 451.42/x
  3. Step 3: Cross multiply
    817.13x = 1,223.57 × 451.42
  4. Step 4: Simplify right side
    817.13x = 552,342.04
  5. Step 5: Solve for x
    x = 552,342.04/817.13
  6. Step 6: Final answer
    x = 675.95

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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.