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Finding the Fourth Proportional to 2,282.90, 3,424.68 and 722.55

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Solution

The fourth proportional to 2,282.90, 3,424.68 and 722.55 is: 1,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.90 : 3,424.68 = 722.55 : x
  2. Step 2: Convert to fraction form
    2,282.90/3,424.68 = 722.55/x
  3. Step 3: Cross multiply
    2,282.90x = 3,424.68 × 722.55
  4. Step 4: Simplify right side
    2,282.90x = 2,474,502.53
  5. Step 5: Solve for x
    x = 2,474,502.53/2,282.90
  6. Step 6: Final answer
    x = 1,083.93

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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.