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Finding the Fourth Proportional to 1,718.05, 2,577.08 and 419.51

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Solution

The fourth proportional to 1,718.05, 2,577.08 and 419.51 is: 629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.05 : 2,577.08 = 419.51 : x
  2. Step 2: Convert to fraction form
    1,718.05/2,577.08 = 419.51/x
  3. Step 3: Cross multiply
    1,718.05x = 2,577.08 × 419.51
  4. Step 4: Simplify right side
    1,718.05x = 1,081,110.83
  5. Step 5: Solve for x
    x = 1,081,110.83/1,718.05
  6. Step 6: Final answer
    x = 629.27

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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.