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Finding the Fourth Proportional to 1,259.33, 1,737.86 and 699.80

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Solution

The fourth proportional to 1,259.33, 1,737.86 and 699.80 is: 965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.33 : 1,737.86 = 699.80 : x
  2. Step 2: Convert to fraction form
    1,259.33/1,737.86 = 699.80/x
  3. Step 3: Cross multiply
    1,259.33x = 1,737.86 × 699.80
  4. Step 4: Simplify right side
    1,259.33x = 1,216,142.24
  5. Step 5: Solve for x
    x = 1,216,142.24/1,259.33
  6. Step 6: Final answer
    x = 965.71

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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.