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Finding the Fourth Proportional to 665.66, 914.76 and 635.17

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Solution

The fourth proportional to 665.66, 914.76 and 635.17 is: 872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.66 : 914.76 = 635.17 : x
  2. Step 2: Convert to fraction form
    665.66/914.76 = 635.17/x
  3. Step 3: Cross multiply
    665.66x = 914.76 × 635.17
  4. Step 4: Simplify right side
    665.66x = 581,028.11
  5. Step 5: Solve for x
    x = 581,028.11/665.66
  6. Step 6: Final answer
    x = 872.86

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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.