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Finding the Fourth Proportional to 538.31, 810.68 and 474

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Solution

The fourth proportional to 538.31, 810.68 and 474 is: 713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.31 : 810.68 = 474 : x
  2. Step 2: Convert to fraction form
    538.31/810.68 = 474/x
  3. Step 3: Cross multiply
    538.31x = 810.68 × 474
  4. Step 4: Simplify right side
    538.31x = 384,259.95
  5. Step 5: Solve for x
    x = 384,259.95/538.31
  6. Step 6: Final answer
    x = 713.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.