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Finding the Fourth Proportional to 1,118.63, 1,676.93 and 571.21

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Solution

The fourth proportional to 1,118.63, 1,676.93 and 571.21 is: 856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.63 : 1,676.93 = 571.21 : x
  2. Step 2: Convert to fraction form
    1,118.63/1,676.93 = 571.21/x
  3. Step 3: Cross multiply
    1,118.63x = 1,676.93 × 571.21
  4. Step 4: Simplify right side
    1,118.63x = 957,879.19
  5. Step 5: Solve for x
    x = 957,879.19/1,118.63
  6. Step 6: Final answer
    x = 856.30

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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.