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Finding the Fourth Proportional to 1,699.13, 2,548.47 and 773.69

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Solution

The fourth proportional to 1,699.13, 2,548.47 and 773.69 is: 1,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.13 : 2,548.47 = 773.69 : x
  2. Step 2: Convert to fraction form
    1,699.13/2,548.47 = 773.69/x
  3. Step 3: Cross multiply
    1,699.13x = 2,548.47 × 773.69
  4. Step 4: Simplify right side
    1,699.13x = 1,971,725.75
  5. Step 5: Solve for x
    x = 1,971,725.75/1,699.13
  6. Step 6: Final answer
    x = 1,160.43

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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.