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Finding the Fourth Proportional to 536.09, 802.82 and 371.12

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Solution

The fourth proportional to 536.09, 802.82 and 371.12 is: 555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.09 : 802.82 = 371.12 : x
  2. Step 2: Convert to fraction form
    536.09/802.82 = 371.12/x
  3. Step 3: Cross multiply
    536.09x = 802.82 × 371.12
  4. Step 4: Simplify right side
    536.09x = 297,939.47
  5. Step 5: Solve for x
    x = 297,939.47/536.09
  6. Step 6: Final answer
    x = 555.77

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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.