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Finding the Fourth Proportional to 662.99, 914.91 and 505.45

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Solution

The fourth proportional to 662.99, 914.91 and 505.45 is: 697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.99 : 914.91 = 505.45 : x
  2. Step 2: Convert to fraction form
    662.99/914.91 = 505.45/x
  3. Step 3: Cross multiply
    662.99x = 914.91 × 505.45
  4. Step 4: Simplify right side
    662.99x = 462,436.68
  5. Step 5: Solve for x
    x = 462,436.68/662.99
  6. Step 6: Final answer
    x = 697.50

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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.