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Finding the Fourth Proportional to 534.87, 796.96 and 511.28

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Solution

The fourth proportional to 534.87, 796.96 and 511.28 is: 761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.87 : 796.96 = 511.28 : x
  2. Step 2: Convert to fraction form
    534.87/796.96 = 511.28/x
  3. Step 3: Cross multiply
    534.87x = 796.96 × 511.28
  4. Step 4: Simplify right side
    534.87x = 407,466.48
  5. Step 5: Solve for x
    x = 407,466.48/534.87
  6. Step 6: Final answer
    x = 761.80

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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.