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Finding the Fourth Proportional to 1,259.24, 1,737.63 and 699.75

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Solution

The fourth proportional to 1,259.24, 1,737.63 and 699.75 is: 965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.24 : 1,737.63 = 699.75 : x
  2. Step 2: Convert to fraction form
    1,259.24/1,737.63 = 699.75/x
  3. Step 3: Cross multiply
    1,259.24x = 1,737.63 × 699.75
  4. Step 4: Simplify right side
    1,259.24x = 1,215,906.59
  5. Step 5: Solve for x
    x = 1,215,906.59/1,259.24
  6. Step 6: Final answer
    x = 965.59

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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.