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Finding the Fourth Proportional to 1,669.91, 2,505.03 and 574.13

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Solution

The fourth proportional to 1,669.91, 2,505.03 and 574.13 is: 861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.91 : 2,505.03 = 574.13 : x
  2. Step 2: Convert to fraction form
    1,669.91/2,505.03 = 574.13/x
  3. Step 3: Cross multiply
    1,669.91x = 2,505.03 × 574.13
  4. Step 4: Simplify right side
    1,669.91x = 1,438,212.87
  5. Step 5: Solve for x
    x = 1,438,212.87/1,669.91
  6. Step 6: Final answer
    x = 861.25

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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.