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Finding the Fourth Proportional to 536.80, 801.29 and 472

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Solution

The fourth proportional to 536.80, 801.29 and 472 is: 704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 801.29 = 472 : x
  2. Step 2: Convert to fraction form
    536.80/801.29 = 472/x
  3. Step 3: Cross multiply
    536.80x = 801.29 × 472
  4. Step 4: Simplify right side
    536.80x = 378,208.88
  5. Step 5: Solve for x
    x = 378,208.88/536.80
  6. Step 6: Final answer
    x = 704.56

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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.