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Finding the Fourth Proportional to 662.68, 914.36 and 505.28

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Solution

The fourth proportional to 662.68, 914.36 and 505.28 is: 697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.68 : 914.36 = 505.28 : x
  2. Step 2: Convert to fraction form
    662.68/914.36 = 505.28/x
  3. Step 3: Cross multiply
    662.68x = 914.36 × 505.28
  4. Step 4: Simplify right side
    662.68x = 462,007.82
  5. Step 5: Solve for x
    x = 462,007.82/662.68
  6. Step 6: Final answer
    x = 697.18

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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.