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Finding the Fourth Proportional to 511.82, 763.79 and 457.14

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Solution

The fourth proportional to 511.82, 763.79 and 457.14 is: 682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.82 : 763.79 = 457.14 : x
  2. Step 2: Convert to fraction form
    511.82/763.79 = 457.14/x
  3. Step 3: Cross multiply
    511.82x = 763.79 × 457.14
  4. Step 4: Simplify right side
    511.82x = 349,160.10
  5. Step 5: Solve for x
    x = 349,160.10/511.82
  6. Step 6: Final answer
    x = 682.20

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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.