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Finding the Fourth Proportional to 662.86, 914.82 and 505.22

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Solution

The fourth proportional to 662.86, 914.82 and 505.22 is: 697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.86 : 914.82 = 505.22 : x
  2. Step 2: Convert to fraction form
    662.86/914.82 = 505.22/x
  3. Step 3: Cross multiply
    662.86x = 914.82 × 505.22
  4. Step 4: Simplify right side
    662.86x = 462,185.36
  5. Step 5: Solve for x
    x = 462,185.36/662.86
  6. Step 6: Final answer
    x = 697.26

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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.