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Finding the Fourth Proportional to 534.63, 797.33 and 522.21

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Solution

The fourth proportional to 534.63, 797.33 and 522.21 is: 778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.63 : 797.33 = 522.21 : x
  2. Step 2: Convert to fraction form
    534.63/797.33 = 522.21/x
  3. Step 3: Cross multiply
    534.63x = 797.33 × 522.21
  4. Step 4: Simplify right side
    534.63x = 416,373.70
  5. Step 5: Solve for x
    x = 416,373.70/534.63
  6. Step 6: Final answer
    x = 778.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.