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Finding the Fourth Proportional to 1,724.76, 2,587.86 and 629.24

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Solution

The fourth proportional to 1,724.76, 2,587.86 and 629.24 is: 944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.76 : 2,587.86 = 629.24 : x
  2. Step 2: Convert to fraction form
    1,724.76/2,587.86 = 629.24/x
  3. Step 3: Cross multiply
    1,724.76x = 2,587.86 × 629.24
  4. Step 4: Simplify right side
    1,724.76x = 1,628,372.09
  5. Step 5: Solve for x
    x = 1,628,372.09/1,724.76
  6. Step 6: Final answer
    x = 944.12

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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.