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Finding the Fourth Proportional to 536.40, 801.21 and 427.88

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Solution

The fourth proportional to 536.40, 801.21 and 427.88 is: 639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.40 : 801.21 = 427.88 : x
  2. Step 2: Convert to fraction form
    536.40/801.21 = 427.88/x
  3. Step 3: Cross multiply
    536.40x = 801.21 × 427.88
  4. Step 4: Simplify right side
    536.40x = 342,821.73
  5. Step 5: Solve for x
    x = 342,821.73/536.40
  6. Step 6: Final answer
    x = 639.12

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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.