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Finding the Fourth Proportional to 1,718.48, 2,577.72 and 419.94

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Solution

The fourth proportional to 1,718.48, 2,577.72 and 419.94 is: 629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.48 : 2,577.72 = 419.94 : x
  2. Step 2: Convert to fraction form
    1,718.48/2,577.72 = 419.94/x
  3. Step 3: Cross multiply
    1,718.48x = 2,577.72 × 419.94
  4. Step 4: Simplify right side
    1,718.48x = 1,082,487.74
  5. Step 5: Solve for x
    x = 1,082,487.74/1,718.48
  6. Step 6: Final answer
    x = 629.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.