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Finding the Fourth Proportional to 1,040.25, 1,560.36 and 423.81

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Solution

The fourth proportional to 1,040.25, 1,560.36 and 423.81 is: 635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.25 : 1,560.36 = 423.81 : x
  2. Step 2: Convert to fraction form
    1,040.25/1,560.36 = 423.81/x
  3. Step 3: Cross multiply
    1,040.25x = 1,560.36 × 423.81
  4. Step 4: Simplify right side
    1,040.25x = 661,297.76
  5. Step 5: Solve for x
    x = 661,297.76/1,040.25
  6. Step 6: Final answer
    x = 635.71

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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.