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Finding the Fourth Proportional to 1,605.99, 2,409.14 and 668.74

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Solution

The fourth proportional to 1,605.99, 2,409.14 and 668.74 is: 1,003.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.99 : 2,409.14 = 668.74 : x
  2. Step 2: Convert to fraction form
    1,605.99/2,409.14 = 668.74/x
  3. Step 3: Cross multiply
    1,605.99x = 2,409.14 × 668.74
  4. Step 4: Simplify right side
    1,605.99x = 1,611,088.28
  5. Step 5: Solve for x
    x = 1,611,088.28/1,605.99
  6. Step 6: Final answer
    x = 1,003.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.