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Finding the Fourth Proportional to 511.83, 763.97 and 475.71

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Solution

The fourth proportional to 511.83, 763.97 and 475.71 is: 710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.83 : 763.97 = 475.71 : x
  2. Step 2: Convert to fraction form
    511.83/763.97 = 475.71/x
  3. Step 3: Cross multiply
    511.83x = 763.97 × 475.71
  4. Step 4: Simplify right side
    511.83x = 363,425.79
  5. Step 5: Solve for x
    x = 363,425.79/511.83
  6. Step 6: Final answer
    x = 710.05

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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.