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Finding the Fourth Proportional to 538.72, 802.72 and 521.28

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Solution

The fourth proportional to 538.72, 802.72 and 521.28 is: 776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.72 : 802.72 = 521.28 : x
  2. Step 2: Convert to fraction form
    538.72/802.72 = 521.28/x
  3. Step 3: Cross multiply
    538.72x = 802.72 × 521.28
  4. Step 4: Simplify right side
    538.72x = 418,441.88
  5. Step 5: Solve for x
    x = 418,441.88/538.72
  6. Step 6: Final answer
    x = 776.73

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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.