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Finding the Fourth Proportional to 677.43, 936.15 and 511.37

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Solution

The fourth proportional to 677.43, 936.15 and 511.37 is: 706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.43 : 936.15 = 511.37 : x
  2. Step 2: Convert to fraction form
    677.43/936.15 = 511.37/x
  3. Step 3: Cross multiply
    677.43x = 936.15 × 511.37
  4. Step 4: Simplify right side
    677.43x = 478,714.34
  5. Step 5: Solve for x
    x = 478,714.34/677.43
  6. Step 6: Final answer
    x = 706.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.