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Finding the Fourth Proportional to 536.90, 801.94 and 428.36

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Solution

The fourth proportional to 536.90, 801.94 and 428.36 is: 639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.90 : 801.94 = 428.36 : x
  2. Step 2: Convert to fraction form
    536.90/801.94 = 428.36/x
  3. Step 3: Cross multiply
    536.90x = 801.94 × 428.36
  4. Step 4: Simplify right side
    536.90x = 343,519.02
  5. Step 5: Solve for x
    x = 343,519.02/536.90
  6. Step 6: Final answer
    x = 639.82

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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.