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Finding the Fourth Proportional to 817.90, 1,227.56 and 544.32

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Solution

The fourth proportional to 817.90, 1,227.56 and 544.32 is: 816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.90 : 1,227.56 = 544.32 : x
  2. Step 2: Convert to fraction form
    817.90/1,227.56 = 544.32/x
  3. Step 3: Cross multiply
    817.90x = 1,227.56 × 544.32
  4. Step 4: Simplify right side
    817.90x = 668,182.74
  5. Step 5: Solve for x
    x = 668,182.74/817.90
  6. Step 6: Final answer
    x = 816.95

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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.