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Finding the Fourth Proportional to 663.06, 910.17 and 587.73

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Solution

The fourth proportional to 663.06, 910.17 and 587.73 is: 806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.06 : 910.17 = 587.73 : x
  2. Step 2: Convert to fraction form
    663.06/910.17 = 587.73/x
  3. Step 3: Cross multiply
    663.06x = 910.17 × 587.73
  4. Step 4: Simplify right side
    663.06x = 534,934.21
  5. Step 5: Solve for x
    x = 534,934.21/663.06
  6. Step 6: Final answer
    x = 806.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.