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Finding the Fourth Proportional to 1,052.09, 1,451.97 and 580.07

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Solution

The fourth proportional to 1,052.09, 1,451.97 and 580.07 is: 800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.09 : 1,451.97 = 580.07 : x
  2. Step 2: Convert to fraction form
    1,052.09/1,451.97 = 580.07/x
  3. Step 3: Cross multiply
    1,052.09x = 1,451.97 × 580.07
  4. Step 4: Simplify right side
    1,052.09x = 842,247.87
  5. Step 5: Solve for x
    x = 842,247.87/1,052.09
  6. Step 6: Final answer
    x = 800.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.