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Finding the Fourth Proportional to 538.76, 802.18 and 516.62

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Solution

The fourth proportional to 538.76, 802.18 and 516.62 is: 769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.76 : 802.18 = 516.62 : x
  2. Step 2: Convert to fraction form
    538.76/802.18 = 516.62/x
  3. Step 3: Cross multiply
    538.76x = 802.18 × 516.62
  4. Step 4: Simplify right side
    538.76x = 414,422.23
  5. Step 5: Solve for x
    x = 414,422.23/538.76
  6. Step 6: Final answer
    x = 769.21

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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.