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Finding the Fourth Proportional to 1,052.09, 1,451.87 and 579.98

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Solution

The fourth proportional to 1,052.09, 1,451.87 and 579.98 is: 800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.09 : 1,451.87 = 579.98 : x
  2. Step 2: Convert to fraction form
    1,052.09/1,451.87 = 579.98/x
  3. Step 3: Cross multiply
    1,052.09x = 1,451.87 × 579.98
  4. Step 4: Simplify right side
    1,052.09x = 842,048.67
  5. Step 5: Solve for x
    x = 842,048.67/1,052.09
  6. Step 6: Final answer
    x = 800.36

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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.