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Finding the Fourth Proportional to 511.60, 764.12 and 418.72

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Solution

The fourth proportional to 511.60, 764.12 and 418.72 is: 625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 764.12 = 418.72 : x
  2. Step 2: Convert to fraction form
    511.60/764.12 = 418.72/x
  3. Step 3: Cross multiply
    511.60x = 764.12 × 418.72
  4. Step 4: Simplify right side
    511.60x = 319,952.33
  5. Step 5: Solve for x
    x = 319,952.33/511.60
  6. Step 6: Final answer
    x = 625.40

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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.