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Finding the Fourth Proportional to 1,669.94, 2,505.33 and 629.95

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Solution

The fourth proportional to 1,669.94, 2,505.33 and 629.95 is: 945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.94 : 2,505.33 = 629.95 : x
  2. Step 2: Convert to fraction form
    1,669.94/2,505.33 = 629.95/x
  3. Step 3: Cross multiply
    1,669.94x = 2,505.33 × 629.95
  4. Step 4: Simplify right side
    1,669.94x = 1,578,232.63
  5. Step 5: Solve for x
    x = 1,578,232.63/1,669.94
  6. Step 6: Final answer
    x = 945.08

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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.