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Finding the Fourth Proportional to 1,039.76, 1,558.55 and 414.81

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Solution

The fourth proportional to 1,039.76, 1,558.55 and 414.81 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.76 : 1,558.55 = 414.81 : x
  2. Step 2: Convert to fraction form
    1,039.76/1,558.55 = 414.81/x
  3. Step 3: Cross multiply
    1,039.76x = 1,558.55 × 414.81
  4. Step 4: Simplify right side
    1,039.76x = 646,500.05
  5. Step 5: Solve for x
    x = 646,500.05/1,039.76
  6. Step 6: Final answer
    x = 621.78

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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.