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Finding the Fourth Proportional to 534.69, 796.68 and 511.10

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Solution

The fourth proportional to 534.69, 796.68 and 511.10 is: 761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.69 : 796.68 = 511.10 : x
  2. Step 2: Convert to fraction form
    534.69/796.68 = 511.10/x
  3. Step 3: Cross multiply
    534.69x = 796.68 × 511.10
  4. Step 4: Simplify right side
    534.69x = 407,179.16
  5. Step 5: Solve for x
    x = 407,179.16/534.69
  6. Step 6: Final answer
    x = 761.52

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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.