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Finding the Fourth Proportional to 1,039.77, 1,558.83 and 669.81

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Solution

The fourth proportional to 1,039.77, 1,558.83 and 669.81 is: 1,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.77 : 1,558.83 = 669.81 : x
  2. Step 2: Convert to fraction form
    1,039.77/1,558.83 = 669.81/x
  3. Step 3: Cross multiply
    1,039.77x = 1,558.83 × 669.81
  4. Step 4: Simplify right side
    1,039.77x = 1,044,119.92
  5. Step 5: Solve for x
    x = 1,044,119.92/1,039.77
  6. Step 6: Final answer
    x = 1,004.18

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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.