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Finding the Fourth Proportional to 1,725.87, 2,587.19 and 629.99

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Solution

The fourth proportional to 1,725.87, 2,587.19 and 629.99 is: 944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.87 : 2,587.19 = 629.99 : x
  2. Step 2: Convert to fraction form
    1,725.87/2,587.19 = 629.99/x
  3. Step 3: Cross multiply
    1,725.87x = 2,587.19 × 629.99
  4. Step 4: Simplify right side
    1,725.87x = 1,629,892.47
  5. Step 5: Solve for x
    x = 1,629,892.47/1,725.87
  6. Step 6: Final answer
    x = 944.39

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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.