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Finding the Fourth Proportional to 538, 810.66 and 479.06

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Solution

The fourth proportional to 538, 810.66 and 479.06 is: 721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538 : 810.66 = 479.06 : x
  2. Step 2: Convert to fraction form
    538/810.66 = 479.06/x
  3. Step 3: Cross multiply
    538x = 810.66 × 479.06
  4. Step 4: Simplify right side
    538x = 388,354.78
  5. Step 5: Solve for x
    x = 388,354.78/538
  6. Step 6: Final answer
    x = 721.85

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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.